Question

What is the value of x in the solution to the this system of equations:

y=-1/2x + 2
y - 2x = -3

Answer 1

x=2 and y=1

Explanation:

hope this helps!

Answer 2

x = 2

Explanation:

For system of equations, you need to equal them to each other. First, you need to isolate y on one side of the equation in
`y - 2x = -3`

`y = -3 + 2x`

Now, equal the equations to each other:

`-(1)/(2)x + 2 = -3 + 2x`

Add
`(1)/(2) x` to both sides of the equation:

`2 = -3 + (2x + (1)/(2)x) = -3 + ((4)/(2)x + (1)/(2)x) = -3 + (5)/(2) x`

Subtract add 3 to both sides of the equation:

`5 = (5)/(2)x`

Divide
`(5)/(2)` on both sides of the equation. Remember: when you divide a fraction, you multiply by the reciprocal. See below:

`(2)/(5) * 5 = x`

`(10)/(5) = x`

`x = 2`

Check your work:

`-(1)/(2)(2) + 2 = -3 + 2(2)`

-1 = -1