I NEED MATH NOW!!!!!!!!!!!!!

Question

A t-shirt and two pairs of shorts cost $53.50. At the same store, two t-shirts and 3 pairs of shorts cast $84. What is the cost of one pair of shorts? Use a system of equations to solve. YOU MUST USE ELIMINATION TO SOLVE

Answer 1

Let's say T-shirt is t and shorts is s. So we have 2 equations

A t-shirt and two pairs of shorts cost $53.50 => t + 2s = 53.50 (equation 1)

two t-shirts and 3 pairs of shorts cost $84 => 2t + 3s = 84 (equation 2)

so taking equation 1 => t = 53.50 - 2s Keep the value of t in equation 2 we will get

2(53.50-2s) + 3s =84

107 - 4s + 3s = 84 => 107 - s = 84 => -s = 84-107

s = 23 now keep the s value in equation 1 or 2. I have kept s value in equation 1

t = 53.50 - 2(23) => t = 53.50 - 46 => t = 7.5

So the value of 1 T-shirt is $ 7.5 and 1 pair of shorts is $ 23