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Chapter 8: 8.148 - Try It (page 987)

Solve:2x+159=7x+315.

Short Answer

Expert verified

The value of x is 6.

Step by step solution

01

Step 1. Given Information

We are given with two ratios equal to each other and we need to solve it for x:

2x+159=7x+315.

02

Step 2. Solving for x

Firstly find LCM of 9 and 15 which is 45

Now, multiply both sides of the equation with this LCM and solving for x:

452x+159=457x+315,10x+75=21x+9,(21-10)x=75-9,11x=66,x=6611=6.

03

Step 3. Checking the result

We get x=6as our result and now we will check it from the original equation:

Putx=6in:2x+159=7x+315,2脳6+159=7脳6+315,279=4515,3=3.

This means our result is correct.

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