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Chapter 4: Q64. (page 181)

Use cross products to solve each proportion.

x5=x+18

Short Answer

Expert verified

Given proportion is simplified to x=53

Step by step solution

01

- Cross product between two proportions

Let ab and cd be two equal proportions that is ab=cd

Then cross product is defined as multiplication of denominator of one proportion with the numerator of other proportion, that is ad=bc

02

- Substitution

Substitute x for a, 5 for b, x+1for c, and 8 for d into ad=bc gives

x脳8=5脳x+1

03

- Simplify x×8=5×x+1

To simplify this expression multiply both the numbers of right side and then simplify to group the coefficient of variable and then divide it from coefficient as shown below

8x=5x+58x鈭�5x=53x=5x=53

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Most popular questions from this chapter

Use matricesA, B, Cand Dto find the following.

A=57鈭�163鈭�9,鈥夆赌�B=835144,鈥夆赌�C=04鈭�257鈭�1,鈥夆赌�D=6290鈭�30

28. 3C-4A+B

Determine whether each matrix product is defined. If so, state the dimensions of the product.

A3脳1鈰�B1脳5

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