#1: Solve the linear system below using the elimination method. Type your
answer as an ordered pair in the form (#,#).*
5x + 3y = 1
-5x – 7y = 31

The given linear system is:

[tex]\displaystyle \left \{ {{5x+3y=1} \atop {-5x-7y=31}} \right.[/tex]

Linear systems can be solved using either elimination or substitution. However, the question is asking to solve using elimination, so I will use that method.

When eliminating, you can either eliminate x or y. In this system, x is much easier to eliminate. The x variable in the first equation is 5x, and in the second equation, it is -5x. Since 5 and -5 cancel each other out, you don't need to do anything other than add.

[tex]5x+3y=1\\-5x-7y=31[/tex]

[tex]\displaystyle 3y-7y=1+31\\-4y=32[/tex]

Lastly, you need to leave the variable y alone. The variable is currently -4y or -4 times y. To remove it, you need to do the opposite of it, which is dividing by -4.

Divide both sides by -4:

[tex]\displaystyle\frac{-4y}{-4} =\frac{32}{-4}[/tex]

[tex]\displaystyle y=-8[/tex]

Now that you have the value of y, substitute it into one of the equations to find x. I will be substituting it into the first equation.

[tex]\displaystyle 5x+3y=1 \rightarrow 5x+3(-8)=1[/tex]

Open the parentheses and multiply:

[tex]5x-24=1[/tex]

Move 24 to the other side to leave the variable alone:

[tex]5x-24+24=1+24[/tex]

You will be adding since you're "removing" it by doing the opposite of it.

[tex]5x=25[/tex]

Lastly, divide both sides by 5 to leave x alone.

[tex]\displaystyle \frac{5x}{5} =\frac{25}{5}[/tex]

[tex]x=5[/tex]

[tex]\displaystyle (x,y) \rightarrow (5, -8)[/tex]

The answer is (5, -8).

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y = negative three-fourths x + one-fourth
y = negative three-fourths x + 4
y = negative three-fourths x minus 2
y = negative three-fourths x minus one-fourth

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1) In a survey, Eric, the team manager, asked all 120 soccer players in the league which drink they preferred during
and after the game.
Drink During Game After Game
Sports Beverage 70
10
Juice
10
80
Water
40
30
Directions: For each statement below, tell if it accurately represents the information from the survey AND
explain how you made each decision. (SHOW YOUR THINKING)
a. During the game, players prefer juice to water by a ratio of 4 to 1.
b. 25% of the players prefer water after the game.
c. More than half of the players prefer a sports drink during the game.

I need help ASAP
3k+30=95+k+2k-5

Combine any like terms in the expression. If there are no like terms, rewrite the expression.
5t+t–3t

2+2 Add the numbers​

HELP WILL GIVE BRAINLIEST AND 30 POINTS!!
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ANSWER IS 2.1 miles PLEASE SHOW ALL WORK

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-3^0+5^0-2^0-1^0

I will give brainliest to person who answers correctly!
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Simplify the expression:
X^2 (2x + 3)

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Solve a/-6 + 8 = 12. a =

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IF ANYBODY HAS ANSWERS TO THE TEST IM WILLING TO CASH APP

1. 165.45 ÷ 1000 =
2. 762.78 ÷ 100 =
3. 76.94 ÷ 10 =
4. 14352.89 ÷ 1000=
5. 12.30 ÷ 10 =

Amie works 6 hours each Saturday and 4 hours each Monday. She also makes $20 a week as a dog walker. She makes a total of $130 each week. If h represents Amie’s hourly rate, which equation can be used to find Amie’s hourly rate?
6 h + 20 = 130
(6 + 4) h = 130
(6 + 4) h + 20 = 130
4 h + 20 = 130

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A piece of glass with an initial temp of 99 degrees Celsius is cooled at a rate of 3.5 degrees Celsius per minute. Concurrently, a piece of copper with an initial temp of 0 degrees Celsius is heated at 2.5 degrees Celsius per minute. Which of the following systems of equations can be used to solve for the temp, T, in degrees Celsius, and the time, m, in minutes, when the glass and copper reach the same temp?

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COULD SOMEONE HELP ME ITS URGENT!!!!
Omar flies his plane out of a local airport. The airport is at an altitude of 1100 feet above sea level. He flies his plane to an altitude of 2500 feet above sea level. Which number represents sea level?

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Solve the equation.
y + 3 = y + 9
f
O y= 1
O y = 3
O y = 6
O y = 9