Question

Solve the system of equations graphed below
y = -2x + 5 y = x - 4
1. (3,-1)
2.( -1,3)
3. (5, -4)
4. (0,5)

Answer 1

To solve the system of equations, we need to find the point where the two lines intersect.

By setting the two equations equal to each other, we can find the x-value:
-2x + 5 = x - 4
-2x - x = -4 - 5
-3x = -9
x = 3

Now, plug the x-value back into either of the original equations to find the y-value:
y = -2(3) + 5
y = -6 + 5
y = -1

Therefore, the solution to the system of equations is (3, -1).

So the correct answer is:
1. (3,-1)