Question

What value for the constant, h, in the equation shown below will result in an infinite number of solutions? 6x + 18 = h(3x + 9)

Answer 1

Answer:

h=6x+8/3x+27

Step-by-step explanation:

To solve this question we will have to open the bracket first

6x+8=h(3x+9)

6x+8=3hx+9h

Let's continue solving

6x+8=3h(x+9)

Divide both sides by x+9

3h=6x+8/x+9

To make h the subject of formula

h=6x+8/x+9 ×1/3

h=6x+8/3(x+9)

h=6x+8/3x+27

This cannot be solved further so the final answer is

h=6x+8/3x+27

Answer 2

To solve this question we will have to open the bracket first

6x+8=h(3x+9)

6x+8=3hx+9h

Let's continue solving

6x+8=3h(x+9)

Divide both sides by x+9

3h=6x+8/x+9

To make h the subject of formula

h=6x+8/x+9 ×1/3

h=6x+8/3(x+9)

h=6x+8/3x+27

This cannot be solved further so the final answer is

h=6x+8/3x+27