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3 years ago

Add. Express your answer in simplest terms. 1/5+2/3

Mathematics

2 answers:

fredd [130]3 years ago

8 0

The answer is 13/15 . add both of the fractions

DedPeter [7]3 years ago

4 0

Y0ou find a common denominatior, in this case is 15.... then multiply whatever u had to get the denominator 15 times the top number, so 3/5 + 10/15 = 13/15

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What value of x is in the solution set of 2x – 3 > 11 – 5x?

Alla [95]

2x-3>11-5x

Simplify both sides of the equation

2x-3>-5x+11

Add 5x to both sides

2x-3+5x>-5x+11+5x

7x-3>11

Add 3 to both sides

7x-3+3>11+3

7x>14

Divide both sides by 7

7x/7>14/7

x>2

I hope that's help !

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3 years ago

Which equation, when solved results in a different value of x than the other three?

Talja [164]

Answer:

$-\frac{7}{8}(-\frac{8}{7})x-\frac{3}{4}=20(-\frac{8}{7})$

Step-by-step explanation:

The complete question in the attached figure

Verify each case

Part 1) we have

$-\frac{7}{8}x-\frac{3}{4}=20$

solve for x

$\frac{7}{8}x=-\frac{3}{4}-20$

$\frac{7}{8}x=-\frac{83}{4}$

$x=-\frac{83}{4}(\frac{8}{7})$

$x=-\frac{166}{7}$

Part 2) we have

$\frac{3}{4}+\frac{7}{8}x=-20$

Multiply both sides by -1 and rearrange the terms on the left side to get

$-\frac{7}{8}x-\frac{3}{4}=20$

This expression is the same that the expression in Part 1)

That means, that the equations Part 1) and Part 2) are equivalent

therefore

$x=-\frac{166}{7}$

Part 3) we have

$-7(\frac{1}{8})x-\frac{3}{4}=20$

Remember that

$-7(\frac{1}{8})x=-\frac{7}{8}x$

This expression is the same that the expression in Part 1)

That means, that the equations Part 1) and Part 3) are equivalent

therefore

$x=-\frac{166}{7}$

Part 4) we have

$-\frac{7}{8}(-\frac{8}{7})x-\frac{3}{4}=20(-\frac{8}{7})$

This equation is not equivalent to the other three, because some terms are multiplied by -8/7 and others are not. When different things are done on either side of the equal sign, it changes the equation, resulting in a different solution

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balandron [24]

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