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Systems of 2 Equations Word Problems

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Let x and y be the two numbers

x + y = 72 ------------------------------(1)

x - y = 4 ----------------------------------(2)

Add equation (1) and equation (2)

2x = 76

Divide both-side of the equation by 2

x = 38

substitute x = 38 into equation (1) and then solve for y

38 + y = 72

subtract 38 from both-side of the equation

y = 72 - 38

y = 34

The two numbers are 34 and 38

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