A line is graphed on the coordinate plane below. Another line y = -x + 2
will be graphed on the same coordinate plane to create a system of equations.
What is the solution to that system of equations?


A. (-2,4)

B. (0,-4)

C. (2,-4)

D. (4,-2)

Answers

Answer 1
The answer to the equation should be (2,-4) so C.
Answer 2

The solution to the given system of equations y = -x + 2 are option A. (-2,4) and D. (4,-2).

What is a system of equations?

A system of equations is two or more equations that can be solved together to get a unique solution. the power of the equation must be in one degree.

The equation is given as

y = -x + 2

here, we need to find the solutions to the equation, we can apply the given options one by one to satisfy the equation.

For the solution

A. (-2,4)

y = -x + 2

Substitute the value x = -2 and y = 4

y = 4

-x + 2 = -(-2) + 2 = 4

Thus, the given solution are the system of equation.

For the solution

B. (0,-4)

y = -x + 2

Substitute the value x = 0 and y = -4

y = -4

-x + 2 = 0 + 2 = 2

Thus, both the sides are not equal so, the given solution are not the system of equation.

For the solution

C. (2,-4)

y = -x + 2

Substitute the value x = 2 and y = -4

y = -4

-x + 2 = 2 + 2 = 4

Thus, both the sides are not equal so, the given solution are not the system of equation.

For the solution

D. (4,-2)

y = -x + 2

Substitute the value x = 4 and y = -2

y = -2

-x + 2 = -4 + 2 = -2

Thus, the given solution are the system of equation.

Learn more about the system of the equation;

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Answers

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Step-by-step explanation:

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Answers

Well, since they are different degrees, there aren’t much similarities.

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A standard quadratic function is of the form ()=2++
f
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x
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and has the shape of a parabola, while a linear function is of the form ()=+
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Answer:

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Answers

Complete question :

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Step-by-step explanation:

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Answer:

11:00 AM+ 50 minutes= 11:50

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

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Find the prime factorization of 64.

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Answers

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Step-by-step explanation:

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Now to get to 6, 24 had to be divided by 4...in proportions and fractions usually, the top and bottom are both simplified or proportioned to the same number or scale

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Check your answer by inserting it there to see if it works

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Answer:

[tex]\boxed {\boxed {\sf B. \ 9}}[/tex]

Step-by-step explanation:

We are given this proportion:

[tex]\frac {x}{6}=\frac{36}{24}[/tex]

We want to solve for x, so we must isolate the variable using inverse operations.

It is being divided by 6. The inverse of division is multiplication, so we multiply both sides of the proportion by 6.

[tex]6*\frac {x}{6}=\frac{36}{24}*6[/tex]

[tex]x=\frac{36}{24}*6[/tex]

[tex]x=1.5*6 \\x=9[/tex]

Another way to solve is with cross multiplication. Multiply the first numerator by the second denominator, then the first denominator by the second numerator.

[tex]\frac { x}{6}=\frac{36}{24}[/tex]

[tex]24*x=6*36[/tex]

[tex]24x=216[/tex]

The variable is being multiplied by 24. The inverse of multiplication is division, so we divide both sides of the equation by 24.

[tex]24x/24=216/24\\x=9[/tex]

The value of x that makes this proportion true is 9.

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