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Solve the linear equations using any algebraic method. Check your solution if possible.

-3x+y=-2

-2x+3y=15

The 1st equation easily converts to an equation of y by adding 3x to both sides.

That makes it be y = -2 + 3x.

Putting this in the 2nd equation gives -2x +3(-2+3x) = 15.

Multiplying this out gives -2x - 6 + 9x = 15.

Combining the x terms and adding 6 to both sides gives 7x = 21.

Dividing by 7 gives x = 3.

This gives -9 + y = -2, so adding 9 to both sides gives y = 7.

Checking on the second equation gives -2*3 + 3*7 = -6 + 21 = 15, which is what was given.

From this, we can see that it is done correctly.

Algebra

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