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Solving Proportions

1.15.1 Solving Proportions

1.15.1 • Solving Proportions

Warm Up

Solve each of the following proportions:

1.

x 56 = 7 8 x 56 = 7 8

Compare your answer:

Cross multiply 8x=7(56)8x=7(56)
Simplify 8x=3928x=392
Divide both sides by 8 8x8=39288x8=3928
Simplify x=49x=49
This table demonstrates the step-by-step process for solving an algebraic equation using cross multiplication.
2.

56 72 = y 9 56 72 = y 9

Compare your answer:

Cross multiply 56(9)=72y56(9)=72y
Simplify 504=72y504=72y
Divide both sides by 72 50472=72y7250472=72y72
Simplify x=7x=7
Step-by-step solution of a mathematical equation.
3.

98 154 = − 7 p 98 154 = − 7 p

Compare your answer:

Cross multiply 98p=−7(154)98p=−7(154)
Simplify 98p=−107898p=−1078
Divide both sides by 98 98p98=−10789898p98=−107898
Simplify p=−11p=−11
This table illustrates the step-by-step solution process for an algebraic equation to find the value of 'p'.