Answer:
The answer is B) 1.
Step-by-step explanation:
Combine the equations like this:
[tex]2x+3y=\frac{2}{3}x-1[/tex]
Then subtract [tex]3y[/tex] from all sides.
[tex]2x+3y-3y=\frac{2}{3}x-1-3y[/tex]
Simplify the equation.
[tex]2x=\frac{2}{3}x-1-3y[/tex]
Then subtract [tex]\frac{2}{3}x[/tex] from all sides.
[tex]2x-\frac{2}{3}x=\frac{2}{3}x-1-3y-\frac{2}{3}x[/tex]
Simplify again.
[tex]\frac{4}{3}x=-1-3y[/tex]
Multiply all sides by [tex]3[/tex].
[tex]3\times \frac{4}{3}x=-3\times 1-3 \times 3y[/tex]
Simplify again.
[tex]4x=-3-9y[/tex]
Divide all sides by [tex]4[/tex]
[tex]\frac{4x}{4}=- \frac{3}{4}- \frac{9y}{4}[/tex]
Simplify again.
[tex]x= \mathbf{\frac{-3-9y}{4}}[/tex]
