Question

II. Check if the following equations are satisfied.

(a) 3x/2 - 10 = 1/2

(b) x/2 - x/3 = 8

(c) 6x - 9 - 2(1 - x) = x + 9

(d) 2(x - 2) - 5(x - 5) = 4(x - 8) - 2(x - 2) (e) (2 - y)/(y + 7) = 3/5

(f) (3x + 2)/(2x - 3) = - 3/2

(g) (x - 8 )/3 = (x - 3)/5

(h) 0.25(4y - 3) = 0.5y – 9​

Answer 1

Answer:

(a) 3x/2 - 10 = 1/2

Solve for x

3x/2 - 10 = 1/2

x = 7

The equation is satisfied when x = 7

(b) x/2 - x/3 = 8

Solve for x

x/2 - x/3 = 8

x = 48

The equation is satisfied when x = 48

(c) 6x - 9 - 2(1 - x) = x + 9

Solve for x

6x - 9 - 2(1 - x) = x + 9

x = 20/7

The equation is satisfied when x = 20/7

(d) 2(x - 2) - 5(x - 5) = 4(x - 8) - 2(x - 2)

Solve for x

2(x - 2) - 5(x - 5) = 4(x - 8) - 2(x - 2)

x = 49/5

The equation is satisfied when x = 49/5

(e) (2 - y)/(y + 7) = 3/5

Solve for y

(2 - y)/(y + 7) = 3/5

y = -11/8

The equation is satisfied when y = -11/8

(f) (3x + 2)/(2x - 3) = - 3/2

Solve for x

(3x + 2)/(2x - 3) = - 3/2

x = 5/12

The equation is satisfied when x = 5/12

(g) (x - 8 )/3 = (x - 3)/5

Solve for x

(x - 8 )/3 = (x - 3)/5

x = 31/2

The equation is satisfied when x = 31/2

(h) 0.25(4y - 3) = 0.5y – 9

Solve for y

0.25(4y - 3) = 0.5y – 9

y = -16.5

The equation is satisfied when y = -16.5

Hope this will be helpful to you.

Actually, you should have specific x or y values so that you can say whether the equation is satisfied or not.