Asystem of equations consists of a line s of the equation y = x - 5 that is graphed in orange, and a line t that passes through the points (0, 2) and (8, -4). the equation of line t is y = −3 4 x + 2. what is the solution to this system of linear equations?

ANSWER

and

EXPLANATION

Line s has equation:

y=x-5

And line t has equation:

We equate the two equations to get:

Multiply through by 4

7x=28

(4, -1) is the solution of the system of equations.

Step-by-step explanation:

A system of equations consists of a line y = x - 5 and a line passing through two points (0, 2) and (8, -4)

And the equation of that passes through these points will be

Now we have to find the solution of the system of linear equations.

By equating both the equations

x - 5 =

Now we multiply this equation by 4

4(x - 5) = -3x + 4×2

4x - 20 = -3x + 8

4x + 3x = 8 + 20

7x = 28

x = 4

Now we put x = 4 in the equation y = x - 5

y = 4 -5

y = -1

Therefore, (4, -1) is the solution of the system of equations.

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