Find the solution to the system of equations below.
2y = 2x - 8
2x + y = 5

The solution to the system of equations is:

The graph is attached below.

Step-by-step explanation:

Given the system of equations

Let us solve the system of equations using the elimination method

Arrange equation variables for elimination

Multiply y + 2x = 5 by 2:  2y + 4x = 10

subtracting the equations

solve 6x = 18 for x

Divide both sides by 6

simplify

For 2y - 2x = -8  plug in x = 3

Add 6 to both sides

Simplify

Divide both sides by 2

Simplify

Therefore, the solution to the system of equations is:

The graph is attached below.

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step-by-step explanation: just trying to get points sorry : (

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c