Question

what is the solution for x in the following system of equations?
-y = 2x - 3
y = -x + 1
2
\frac{2}{3}
\frac{4}{3}
4

Explanation:

Step1: Substitute y into first equation

Substitute $y=-x+1$ into $-y=2x-3$, we get $-(-x+1)=2x-3$

Step2: Simplify the equation

$x-1=2x-3$

Step3: Solve for x

Rearrange terms: $-1+3=2x-x$, so $x=\frac{2}{3}$

Answer:

$\frac{2}{3}$