Question

ASAP please Hurry

Solve these equations by expanding the brackets. Show that you have checked each solution by substituting it into the original equation.


a. 2(h + 1) = 6




b. 9(j + 5) = 8j – 5




c. 2(k – 3) = 4(k – 6)

Answer 1

See below.

Explanation:

a. 2(h + 1) = 6

2(h + 1) = 6

2h + 2 = 6

2h = 4

h = 2

Check: Does 2(h + 1) = 6 when h = 2?

2(2 + 1) = 6?

2(3) = 6?

6 = 6 YES

b. 9(j + 5) = 8j – 5

9(j + 5) = 8j – 5

9j + 45 = 8j - 5

j = -50

Check: Does 9(j + 5) = 8j – 5 when j = -50?

9(j + 5) = 8j – 5

9(-50 + 5) = 8(-50) – 5 ?

9(-50 + 5) = 8(-50) – 5 ?

-450 + 45 = -400 - 5 ?

-405 = -405 YES

c. 2(k – 3) = 4(k – 6)

2(k – 3) = 4(k – 6)

2k – 6 = 4k – 24

-2k = - 18

k = 9

Check: Does 2(k – 3) = 4(k – 6) when k = 9?

2(9 – 3) = 4(9 – 6) ?

18 – 6 = 36 –24 ?

12 = 12 YES