Chapter 1: Q. 1.53 (page 24)

Solve each of the following for x: $(1.4)$
a. $2 x + 5 = 41$
b. $\frac{5 x}{3} = 40$

Short Answer

Expert verified

a. The value of x is $18$ .

b. The value of x is $24$ .

Step by step solution

Part (a) step 1: Given Information

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

Part (a) step 2: Calculation

Consider:

$2 x + 5 = 41$

Now, we contain variable $x$ on one side:

role="math" localid="1651834633013" $2 x = 41 - 5 2 x = 36$

Both sides divide by $2$ :

$\frac{2 x}{2} = \frac{36}{2}$

$x = 18$

Part (b) step 1: Given Information

We need to find the value of $x$ from given equation $\frac{5 x}{3} = 40$ .

Part (b) step 2: Calculation

Consider :

$\frac{5 x}{3} = 40$

Now,

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

Therefore:

$(5 x) (1) = (40) (3) 5 x = 120$

Now, both sides are divided by $5$ .

So,

$\frac{5 x}{5} = \frac{120}{5} x = 24$

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Solve each of the following for x: $(1.4)$
a. $2 x + 5 = 41$
b. $\frac{5 x}{3} = 40$

Short Answer

Step by step solution

Part (a) step 1: Given Information

Part (a) step 2: Calculation

Part (b) step 1: Given Information

Part (b) step 2: Calculation

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Solve each of the following for x: (1.4)a. 2x+5=41b.5x3=40

Short Answer

Step by step solution

Part (a) step 1: Given Information

Part (a) step 2: Calculation

Part (b) step 1: Given Information

Part (b) step 2: Calculation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Chemistry Textbooks

Chemistry Branches

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Study anywhere. Anytime. Across all devices.

Solve each of the following for x: $(1.4)$
a. $2 x + 5 = 41$
b. $\frac{5 x}{3} = 40$