Question 269163
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9x-2y=3_3x-6=y

Since y is on the right-hand side of the equation, switch the sides so it is on the left-hand side of the equation.
9x-2y=3_y=3x-6

Replace all occurrences of y with the solution found by solving the last equation for y.  In this case, the value substituted is 3x-6.
9x-2(3x-6)=3_y=3x-6

Multiply -2 by each term inside the parentheses.
9x+(-6x+12)=3_y=3x-6

Since 9x and -6x are like terms, add -6x to 9x to get 3x.
3x+12=3_y=3x-6

Since 12 does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting 12 from both sides.
3x=-12+3_y=3x-6

Add 3 to -12 to get -9.
3x=-9_y=3x-6

Divide each term in the equation by 3.
(3x)/(3)=-(9)/(3)_y=3x-6

Simplify the left-hand side of the equation by canceling the common terms.
x=-(9)/(3)_y=3x-6

Simplify the right-hand side of the equation by simplifying each term.
x=-3_y=3x-6

Replace all occurrences of x with the solution found by solving the last equation for x.  In this case, the value substituted is -3.
x=-3_y=3(-3)-6

Multiply 3 by each term inside the parentheses.
x=-3_y=-9-6

Subtract 6 from -9 to get -15.
x=-3_y=-15

This is the solution to the system of equations.
Answers: x=-3, y=-15