Question

hi Mr or Ms i need help with this problem please guide me step by step because I don't understand this. the part with the Hj=7x-27 do i bring that down and make an equation? or do i leave that there and make an equation with 3x-5 and x-1?

Answer 1

Let's begin by listing out the information given to us:

HJ = 7x - 27

HI = 3x - 5

IJ = x - 1

The key to solving this is to bear in mind that HJJ = HI + IJ

7x - 27 = 3x - 5 + x - 1

7x - 27 = 3x + x - 5 - 1

7x - 27 = 4x - 6

Subtract 4x from each side, we have:

7x - 4x - 27 = 4x - 4x - 6

3x - 27 = - 6

Add 27 to each side, we have:

3x - 27 + 27 = 27 - 6

3x = 21

Divide each side by 3, we have:

x = 7