Mary Kate D. answered • 09/22/20

STEM Graduate Tutor

1) use the provided information to create inequalities.

x = 2y +12

x + y = 132

2) There's a couple of ways to solve for these inequalities. The simplest way is to get both variables on the same side and either add or subtract the inequalities in order to eliminate one variable to make it solvable.

x - 2y = 12

- (x + y = 132)

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0 - 3y = - 120

3) solve for y

y = (-120)/(-3) = 40

4) plug in y in either of the inequalities to solve for x

x - 2(40) = 12 --> x = 12 + 80 = 92

5) check by plugging x and y into the other inequality

x + y = 132

92 + 40 = 132

So, x is 92 and y is 40.