What is the answer to (j-5)/2 =(j+8)/7 ?

The answer to (j-5)/2 =(j+8)/7 is j= 51/5

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(j-5)/2 =(j+8)/7

\frac{j - 5}{2} = \frac{j + 8}{7}

j = \frac{51}{5}

Decimal Notation

j = 10.2

Solution steps

\frac{j - 5}{2} = \frac{j + 8}{7}

Apply fraction cross multiply: if

\frac{a}{b} = \frac{c}{d}

then

a \cdot d = b \cdot c

(j - 5) \cdot 7 = 2 (j + 8)

Expand

(j - 5) \cdot 7 : 7 j - 35

Expand

2 (j + 8) : 2 j + 16

7 j - 35 = 2 j + 16

Move

35

to the right side

7 j = 2 j + 51

Move

2 j

to the left side

5 j = 51

Divide both sides by

5

j = \frac{51}{5}

0.8 + s = 9 (0.2 s + 0.8)

x, 2 x + 5 y = 7

x, - x + 2 y = 8

x, 2 x + 4 y = 5

x, 2 x + 4 y = 6

What is the answer to (j-5)/2 =(j+8)/7 ?
The answer to (j-5)/2 =(j+8)/7 is j= 51/5
Solve for j: (j-5)/2 =(j+8)/7
The solution is j= 51/5