Question

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

Explanation:

Step1: Substitute y into first equation

Substitute $y = -x + 1$ into $-y = 2x - 3$:
$ -(-x + 1) = 2x - 3 $

Step2: Simplify left side

Expand the left-hand side:
$ x - 1 = 2x - 3 $

Step3: Isolate x terms

Subtract $x$ from both sides:
$ -1 = x - 3 $

Step4: Solve for x

Add 3 to both sides:
$ x = 3 - 1 = \frac{4}{3} $

Answer:

$\frac{4}{3}$