Question

Solve this system of equations. y = 2x - 5. y = -2x + 3; x = ______;. y=_______​

Answer 1

To solve the system of equations, we can set them equal to each other, combine like terms, solve for x, and then substitute the value of x into either equation to find y.

Step-by-step explanation:

To solve the system of equations y = 2x - 5 and y = -2x + 3, we can set the two equations equal to each other:

2x - 5 = -2x + 3

Next, we can combine like terms:

4x = 8

Dividing both sides by 4, we find:

x = 2

Now we can substitute the value of x into either one of the original equations to find the value of y. Using the equation y = 2x - 5:

y = 2(2) - 5 = 4 - 5 = -1