Question

Question 6 of 10

What is the solution to the system of equations graphed below?
y = -2x + 4
y=x-5

Answer 1

the solution to the system of equations is (x, y) = (3, -2).

Explanation:

y = -2x + 4 (Equation 1)

y = x - 5 (Equation 2)

To solve for x, we can equate the right sides of the equations:

-2x + 4 = x - 5

Now, we can solve for x:

-2x - x = -5 - 4

-3x = -9

x = (-9) / (-3)

x = 3

Substituting the value of x back into Equation 2, we can solve for y:

y = 3 - 5

y = -2