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Use substitution to solve each system of equations.

0 votes
If the system does not have exactly one solution, state whether it has no solution or infinitely many solutions.
3x-y=4
2x-3y=-9
asked Mar 14, 2014 in ALGEBRA 1 by futai Scholar

1 Answer

+1 vote

Substitution method :

The equations of linear system are image.

Solve the equation 1: imagefor y, since the y has a coefficient of .

Subtract 3x from each side.

image

image

Multiply each side by .

image

image.

Substitute the value of image in the equation 2: imageand solve for x.

image

image

image

Subtract 12 from each side.

image

image

Divide each side by negative 7.

image.

Substitute the value of in the equation image to find the value of y.

image

image

image.

The solution image.

answered Mar 18, 2014 by dozey Mentor

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