\{ y = \frac { - x - 3 } { 2 x - 1 }
Solve for x
x=-\frac{3-y}{2y+1}
y\neq -\frac{1}{2}
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y\left(2x-1\right)=-x-3
Variable x cannot be equal to \frac{1}{2} since division by zero is not defined. Multiply both sides of the equation by 2x-1.
2yx-y=-x-3
Use the distributive property to multiply y by 2x-1.
2yx-y+x=-3
Add x to both sides.
2yx+x=-3+y
Add y to both sides.
\left(2y+1\right)x=-3+y
Combine all terms containing x.
\left(2y+1\right)x=y-3
The equation is in standard form.
\frac{\left(2y+1\right)x}{2y+1}=\frac{y-3}{2y+1}
Divide both sides by 2y+1.
x=\frac{y-3}{2y+1}
Dividing by 2y+1 undoes the multiplication by 2y+1.
x=\frac{y-3}{2y+1}\text{, }x\neq \frac{1}{2}
Variable x cannot be equal to \frac{1}{2}.
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