1/3x+7=3(x+2/3) show your work

Mathematics

2 answers:

Naya [18.7K]2 years ago

8 0

Answer:

15/8

Step-by-step explanation

Brilliant_brown [7]2 years ago

7 0

Answer:

x= 15/8

Step-by-step explanation:

1. Remove the parentheses.

2. Multiply both sides.

3. Move the terms

4. Collect like terms, calculate

5. Divide both sides

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What is the equation of the line that is parallel to the given

slamgirl [31]

Answer:

$y=\frac{1}{5}x+\frac{12}{5}$

Step-by-step explanation:

<u><em>Complete Question:</em></u> What is the equation of line that is parallel to the line $y=\frac{1}{5}+4$ and passes through $(-2,2).$

$Let\ the\ equation\ of\ line\ is\ y=mx+c\\\\Since\ it\ is\ parallel\ to\ the\ line\ y=\frac{1}{5}x+4,\ the\ slope\ of\ both\ the\ lines\ will\ be\ same.\\\\Slope\ of\ y=\frac{1}{5}x+4\ is=\frac{1}{5}\\\\m=\frac{1}{5}\\\\Equation: y=\frac{1}{5}x+c\\\\It\ passes\ through\ (-2,2),\ This\ point\ will\ satisfy\ the\ equation.\\\\2=\frac{1}{5}\times (-2)+c\\\\c=2+\frac{2}{5}\\\\c=\frac{12}{5}\\\\The\ Equation\ is: y=\frac{1}{5}x+\frac{12}{5}$