Solve each equation below for x show all work and check your answer by substituting it back into the equation and verifying that it makes the equation true

The equations are

(a) x/3 = 6

(b) (5x + 9)/2 = 12

(c) x/4 = 9/6

(d) 5/x = 20/8

The answers to the question are

(a) x = 18

(b) x = 3

(c) x = 6

(d) x = 2

Step-by-step explanation:

(a) x/3 = 6

Therefore x = 3×6 = 18

x =18

Substituting the value of x in the above equation, we have

18/6 = 3 verified

(b) (5x + 9)/2 = 12

Multiplying both sides by 2 gives

(5x + 9)/2 × 2 = 12×2 = 24

5x + 9 = 24 or x = (24-9)/5 = 3

Substituting the value of x in the above equation, we have

(5×3 + 9)/2 = 24/2 = 12 verified

x = 3

(c) x/4 = 9/6

Multiplying both sides by 4, we have

x/4×4 = 9/6×4 = 6

x = 6

Substituting the value of x in the above equation, we have

(6/4 = 9/6 = 3/2 verified

(d) 5/x = 20/8

Inverting both equations, we have

x/5 = 8/20

Multiplying both sides by 20 we have x/5 × 20 = 8/20 × 20 or 4x = 8 and x = 2

Substituting the value of x in the original equation, we have

2/5 = 2/5 = 8/20 verified

x = 2

in problems involving proportions, we can use cross products to test whether two ratios are equal and form a proportion. to find the cross products of a proportion, we multiply the outer terms, called the extremes, and the middle terms, called the means.

hope it