If 1/2 + 2/5s = s - 3/4, what is the value of s?

Answers

Answer 1

Answer:25.12

Explanation:

1 Simplify  \frac{2}{5}s

​5

​2

​​ s  to  \frac{2s}{5}

​5

​2s

​​ .

\frac{1}{2}+\frac{2s}{5}=s-\frac{3}{4}

​2

​1

​​ +

​5

​2s

​​ =s−

​4

​3

​​

2 Multiply both sides by 55.

\frac{5}{2}+2s=5s-\frac{15}{4}

​2

​5

​​ +2s=5s−

​4

​15

​​

3 Subtract 2s2s from both sides.

\frac{5}{2}=5s-\frac{15}{4}-2s

​2

​5

​​ =5s−

​4

​15

​​ −2s

4 Simplify  5s-\frac{15}{4}-2s5s−

​4

​15

​​ −2s  to  3s-\frac{15}{4}3s−

​4

​15

​​ .

\frac{5}{2}=3s-\frac{15}{4}

​2

​5

​​ =3s−

​4

​15

​​

5 Add \frac{15}{4}

​4

​15

​​  to both sides.

\frac{5}{2}+\frac{15}{4}=3s

​2

​5

​​ +

​4

​15

​​ =3s

6 Simplify  \frac{5}{2}+\frac{15}{4}

​2

​5

​​ +

​4

​15

​​   to  \frac{25}{4}

​4

​25

​​ .

\frac{25}{4}=3s

​4

​25

​​ =3s

7 Divide both sides by 33.

\frac{\frac{25}{4}}{3}=s

​3

​4

​25

​​

​​ =s

8 Simplify  \frac{\frac{25}{4}}{3}

​3

​4

​25

​​

​​   to  \frac{25}{4\times 3}

​4×3

​25

​​ .

\frac{25}{4\times 3}=s

​4×3

​25

​​ =s

9 Simplify  4\times 34×3  to  1212.

\frac{25}{12}=s

​12

​25

​​ =s

10 Switch sides.

s=\frac{25}{12}s=

​12

​25

​​

Done

Decimal Form: 2.083333


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Answers

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Answers

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Explanation:

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