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Chapter 1: Q. 1.53 (page 24)

Solve each of the following for x: (1.4)

a. 2x+5=41

b.5x3=40

Short Answer

Expert verified

a. The value of x is18.

b. The value of x is24.

Step by step solution

01

Part (a) step 1: Given Information

We need to find the value of xfrom given equation 2x+5=41.

02

Part (a) step 2: Calculation

Consider:

2x+5=41

Now, we contain variablexon one side:

role="math" localid="1651834633013" 2x=41-52x=36

Both sides divide by 2:

2x2=362

x=18

03

Part (b) step 1: Given Information

We need to find the value ofx from given equation5x3=40.

04

Part (b) step 2: Calculation

Consider :

5x3=40

Now,

we cross-multiplication by multiplying 5xto 1and 40to 3.

Therefore:

5x1=4035x=120

Now, both sides are divided by 5.

So,

5x5=1205x=24

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