Question

Help ASAP, MEDAL GIVING
Mei's salary starts at 16000 per year with annual raises of 1500. Janets starting salary is 19300 with annual raises of 950. After how many years will the two women be earning the same salary.

Answer 1

Variables:
m = Mei's earnings
j = Janet's earnings
y = number of years

Given: Mei's salary starts at $16,000 per year with annual raises of $1,500
Means: m = 16000 + 1500y

Given: Janet's starting salary is $19,300 with annual raises of $950
Means: j = 19300 + 950y

Answer 2

Given: After how many years will the two women be earning the same salary?
Means: you need to find out when m = j

You have 3 equations.
m = 16000 + 1500y
j = 19300 + 950y
m = j

Answer 3

Substitute m with 16000 + 1500y and j with 19300 + 950y in the third equation.
m = j
16000 + 1500y = 19300 + 950y

Solve.
1500y - 950y = 19300 - 16000
550y = 3300
y = 3300 / 550
y = 6

ANSWER: They will earn the same after 6 years.