Question

Solve each equation. (Hint: Leave your answers as integers or fractions. Write fractions in the form 1/2)
1. 8x=2/3; x=?
2. 1 1/2=2x; x=?
3. 5x=2/7; x=?
4. 1/4x= 5; x=?
5.1/5= 2/3x; x=?

Answer 1

Answer:

Step-by-step explanation:

1:  8*1/12=2/3 1/12

2: 1 1/2 = 2 3/4  3/4

3: 5*2/3=2/7 2/35

4: 1/4*20 = 5 20

5: 1/5 = 2/3* 3/10 3/10

Answer 2

Answer:

[1] $x=\frac{1}{12}$

[2] $x=\frac{3}{4}$

[3] $x=\frac{2}{35}$

[4] $x=20$

[5] $x=\frac{3}{10}$

Step-by-step explanation:

[1] $8x=\frac{2}{3}$

$\mathrm{Divide\:both\:sides\:by\:}8$

$\frac{8x}{8}=\frac{\frac{2}{3}}{8}$

$\mathrm{Simplify}$

$x=\frac{1}{12}$

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[2] $1\:\frac{1}{2}=2x$

$\frac{3}{2}=2x$

$\mathrm{Divide\:both\:sides\:by\:}2$

$\frac{2x}{2}=\frac{\frac{3}{2}}{2}$

$\mathrm{Simplify}$

$x=\frac{3}{4}$

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[3] $5x=\frac{2}{7}$

$\mathrm{Divide\:both\:sides\:by\:}5$

$\frac{5x}{5}=\frac{\frac{2}{7}}{5}$

$\mathrm{Simplify}$

$x=\frac{2}{35}$

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[4] $\frac{1}{4}x=\:5$

$\mathrm{Multiply\:both\:sides\:by\:}4$

$4\cdot \frac{1}{4}x=5\cdot \:4$

$\mathrm{Simplify}$

$x=20$

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[5] $\frac{1}{5}=\:\frac{2}{3}x$

$\mathrm{Multiply\:both\:sides\:by\:}3$

$3\cdot \frac{2}{3}x=\frac{1\cdot \:3}{5}$

$\mathrm{Simplify}$

$2x=\frac{3}{5}$

$\mathrm{Divide\:both\:sides\:by\:}2$

$\frac{2x}{2}=\frac{\frac{3}{5}}{2}$

$\mathrm{Simplify}$

$x=\frac{3}{10}$

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~Lenvy~