Solve for x
x=\frac{15-3y}{2}
Solve for y
y=-\frac{2x}{3}+5
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2x-5+3y=10
To find the opposite of 5-3y, find the opposite of each term.
2x+3y=10+5
Add 5 to both sides.
2x+3y=15
Add 10 and 5 to get 15.
2x=15-3y
Subtract 3y from both sides.
\frac{2x}{2}=\frac{15-3y}{2}
Divide both sides by 2.
x=\frac{15-3y}{2}
Dividing by 2 undoes the multiplication by 2.
2x-5+3y=10
To find the opposite of 5-3y, find the opposite of each term.
-5+3y=10-2x
Subtract 2x from both sides.
3y=10-2x+5
Add 5 to both sides.
3y=15-2x
Add 10 and 5 to get 15.
\frac{3y}{3}=\frac{15-2x}{3}
Divide both sides by 3.
y=\frac{15-2x}{3}
Dividing by 3 undoes the multiplication by 3.
y=-\frac{2x}{3}+5
Divide 15-2x by 3.
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