Question

What point is the solution to the system of equations y = -1/2 and y = 2x - 5?

Answer 1

(9/4, -1/2)

Explanation:

We already know the y-coordinate of the solution: It is y = -1/2. To find the x-coordinate, we substitute -1/2 for y in y = 2x - 5:

-1/2 = 2x - 5

Clearing out fractions, we multiply all three terms by 2:

-1 = 4x - 10, or

4x = 9

Then x = 9/4

The solution is (9/4, -1/2)

Answer 2

(2.25,-0.5)

Explanation:

If you were to graph the equations, they intersect at the points 2.25, and -0.5.