solving equation belove by using the method of substitution

x-3y=6
in Algebra 1 Answers by

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3 Answers

You can't solve having just one equation.
You will need two equations which are not similar.

x - 3y = 6
3y = x - 6
y = (1/3)x - (6/3)
y = (1/3)x - 2

Hence, for any x which you are given, y will be (1/3)x - 2
by
x - 3y = 6 --- (1)
-2x + 3y = -3 --- (2)

From (2), we have: 3y = 2x - 3 --- (3)

Substituting (3) into (1), we have:

x - (2x - 3) = 6
x - 2x + 3 = 6
-x = 6 - 3
-x = 3
x = -3

Substituting x = -3 into (3), we have:

3y = 2(-3) - 3
3y = -6 - 3
3y = -9
y = -9 / 3
y = -3

Hence, x = -3 and y = -3
by
x+y=9 x-3y=6
by

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