Solve the system of equations by substitution.
3x - 4y = 13
5x + 4y = 11
The solution of the system is x = and y=
(Type integers or simplified fractions.)
Answers
Answer:
[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]
[tex]x=3,\:y=-1[/tex]
Step-by-step explanation:
[tex]3x - 4y = 13[/tex]
[tex]5x + 4y = 11[/tex]
isolate x for 3x-4y=13
[tex]\mathrm{Subsititute\:}x=\frac{13+4y}{3}[/tex]
[tex]\begin{bmatrix}5\cdot \frac{13+4y}{3}+4y=11\end{bmatrix}[/tex]
[tex]\frac{65+32y}{3}=11[/tex]
now isolate y for [tex]\frac{65+32y}{3}=11[/tex]
[tex]\frac{65+32y}{3}=11[/tex]
[tex]65+32y=33[/tex]
[tex]32y=-32[/tex]
Divide both sides by 32
[tex]\frac{32y}{32}=\frac{-32}{32}[/tex]
[tex]y=-1[/tex]
[tex]\mathrm{For\:}x=\frac{13+4y}{3}[/tex]
[tex]\mathrm{Subsititute\:}y=-1[/tex]
[tex]x=\frac{13+4\left(-1\right)}{3}[/tex]
[tex]=\frac{13-4\cdot \:1}{3}[/tex]
[tex]=\frac{9}{3}[/tex]
[tex]\mathrm{Divide\:the\:numbers:}\:\frac{9}{3}=3[/tex]
[tex]=3[/tex]
[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]
[tex]x=3,\:y=-1[/tex]
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Answer:
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Step-by-step explanation:
3/4 of 12 is 9
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Answer:
I have this copied to my clipboard for me to past in comments!
Step-by-step explanation:
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3х + 4 = 14
х = 2y - 12
Answers
Answer:
(-2, 5)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
3x + 4y = 14
x = 2y - 12
Step 2: Solve for y
Substitution
Substitute in x: 3(2y - 12) + 4y = 14Distribute 3: 6y - 36 + 4y = 14Combine like terms: 10y - 36 = 14Isolate y term: 10y = 50Isolate y: y = 5Step 3: Solve for x
Define equation: x = 2y - 12Substitute in y: x = 2(5) - 12Multiply: x = 10 - 12Subtract: x = -2What are the coordinates of the vertex? *
Answers
Answer:
(2,-7)
Step-by-step explanation:
The equation of a parabola is y=a(x-h)^2 + k
the vertex in this equation is (h,k)
Since the equation that is given is y=(x-2)^2-7
we can conclude that the vertex will be (2,-7)
Write the given equation for the quadratic function in standard form.
9(x) = (x - 4) +11
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Traffic signs are regulated by the Manual on Uniform Traffic Control Devices ( MUTCD ) The perimeter of a rectangular traffic sign is 100 inches . Also , its length is 10 inches longer than its width . Find the dimensions of this sign .
Answers
The Manual on Uniform Traffic Control Devices governs traffic signs (MUTCD ) A rectangular traffic sign has a 100-inch perimeter. Additionally, its width is 10 inches wider than its length. Identify this sign's measurements.
The dimensions of this sign, the width of the sign is 20 inches and the length of the sign is 30 inches.
Given, The perimeter of a rectangular traffic sign is 100 inches.
rectangular perimeter= 2(l+b)=100
Also, its width is 10 inches wider than its length.
l=10+b
Take 2(l+b)=100
l+b=50
Substitute l=10+b in the above equatuion.
10+b+b=50
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Substitute b=20 in l=10+b
l=10+20
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Therefore, The width of the sign is 20 inches and the length of the sign is 30 inches.
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Use the reciprocal property to solve for x : 3/540= 10/x
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Answer:
x=1800
Step-by-step explanation:
The value of x for the given equation is 1800.
What is the reciprocal property?The reciprocal of any quantity is, one divided by that quantity. For any number ‘a’, the reciprocal will be 1/a. If the given number is multiplied by its reciprocal, we get the value 1.
Given that, 3/540= 10/x.
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Therefore, the value of x for the given equation is 1800.
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PLEASE HELP!!!! WILL MARK CROWN!!
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Step-by-step explanation:
im right
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Step-by-step explanation:
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Step-by-step explanation:
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Answer:
Assuming both people are pulling in the same direction, the net force on the car is, according to Newton's second law,
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Step-by-step explanation: I hope this helps!
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Answers
Step-by-step explanation:
4/12=y/9 1/3 so y must equal 3
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Answer:
4/12=y/9 1/3 so y must equal 3
1.2/m=3/5 1.2x2.5=3 5÷2.5=2 m=2
y/5=13/10 10÷2=5 13÷2=6.5=y
5/10=8/w 5x1.6=8 w=19x1.6=16
Step-by-step explanation:
4/12=y/9 1/3 so y must equal 3
1.2/m=3/5 1.2x2.5=3 5÷2.5=2 m=2
y/5=13/10 10÷2=5 13÷2=6.5=y
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-7, -5, -3, -1, 1,
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Explain:
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Question 4
1 pts
Solve:
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x = [a]
Answers
Answer:
-[x-8]= -2
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answer 2is the answer I thought
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Answer:
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Step-by-step explanation:
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Answers
x=40%(y)
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No. A multiple of ten and a multiple of ten will always have at least 2 zeros.
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PLS HELP SHOW WORK IF POSSIBALE THANK YOU
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Answer:
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Step-by-step explanation:
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Monica makes tomato sauce with the plant she grows in her garden. She uses 3 basil leaves in her sauce for every eight tomatoes. She is making a big batch of sauce with 32 tomatoes from her garden. How many basil leaves should Monica use in her sauce?
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Answer:
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Step-by-step explanation:
Plz, help me!!!!!!
You have just been hired as New York’s premier Real Estate Agent! In your company, you will make a 7% commission. The real estate market in New York is booming! As the realtor calculates your potential commission if you sell the property for the list price.
If the listing price for Candy Cane Creek is $778,095, how much commission would you receive?
Answers
Answer:
This is an percentage change question, by any chance you have a maths textbook, search for units that contains the topic: Percentage Change/Percentage. Now, let's get solving! :D
Step-by-step explanation:
First of all, you multiply 7% with $778,095 which gives: $54,466.65 (This is your commission/Answer)
Most currency questions use 1 decimal place, so I recommend you to use this answer: $54,466.7
Stay safe and Merry Christmas! :)
Answer:
he received commission amount =7% of $778,095=$54466.65
Step-by-step explanation:
commission =7%
marked price=$778,095
commission amount =7% of $778,095=$54466.65
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Answers
Answer:
Step-by-step explanation:
Y intercept = (0,3)
X intercept = (-6,0)
(the equation graphed)
What is the missing step in this proof?
A. ∠ABC ≅ ∠DBE
B. ∠BCA ≅ ∠BDE
C. ∠ACB ≅ ∠DEB
D. ∠BDE ≅ ∠ADE
E. ∠CAB ≅ ∠DAC
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Answer:
The Answer is A) ABC is congruent to DBE
Step-by-step explanation:
Correct on PLATO
The missing step in the proof is ∠ABC ≅ ∠DBE by the reflexive property of congruence option (A) is correct.
What is congruence in the triangles?The measurements of the sides and angles of two or more triangles determine their congruence. A triangle's size is determined by its three sides, and its shape is determined by its three angles. If the pairs of corresponding sides and angles of two triangles are equal, they are said to be congruent.
From the two triangles:
ΔABC and ΔDBE
As we can see in the two triangles, the angle ∠ABC and ∠DBE are the same.
So, by the reflexive property of congruence:
∠ABC ≅ ∠DBE
Thus, the missing step in the proof is ∠ABC ≅ ∠DBE by the reflexive property of congruence option (A) is correct.
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Sarah needs to make 20 same-size tablecloths using 35 yards of fabric. How many inches of fabric will she use per tablecloth?
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Answer:
63 inches per tablecloth.
Step-by-step explanation:
35 / 20 = 1.75 yards per tablecloth,
= 1.75 * 36
= 63 inches.
200- 6 - (-3)
200 - (-2)
Answers
Answer:
200 - 6 - (-3) = 197 200 - (-2) = 202
PLS ANSWER ASAPThe function f(x) = 4x + 10 models the amount of money Francis makes
when babysitting for x hours. How much money will he make for 2 hours of
babysitting work?
018
0 -3
2
02
Answers
Answer:
A 18
Step-by-step explanation:
f(x) = 4x + 10
f(2) = 4(2) + 10
f(2) = 8 + 10
f(2) = 18
18 money will he make for 2 hours of babysitting work
What is a function?A relation is a function if it has only One y-value for each x-value.
Given,
function f(x) = 4x + 10
The function models the amount of money Francis makes when babysitting for x hours.
We need to find the money he make for 2 hours of babysitting work.
To find this we just need to plug in x value as 2 in function
f(2)=4(2)+10
=8+10
18
Hence, 18 money will he make for 2 hours of babysitting work
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