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

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

answer; mixture;