Question

Moyne buys 8 pair of jeans and 15 t-shirts for $193. Steven buys 3 pair of jeans and 12 t-shirts for $117. Write a system of linear equations to find the cost of each t-shirt. Solve the linear system by elimination

Answer 1

The cost of each t-shirt is $7

Explanation:

Let

x ---> the cost of each pair of jeans

y ---> the cost of each t-shirt

we know that

Moyne

`8x+15y=193` ----> equation A

Steven

`3x+12y=117` ---> equation B

Solve by elimination

Multiply equation B by -8/3 both sides

`-(8)/(3)(3x+12y)=-(8)/(3)(117)`

`-8x-32y=-312` -----> equation C

Adds equation A and equation C

`8x+15y=193\\-8x-32y=-312\\-------\\15y-32y=193-312\\-17y=-119\\y=7`

therefore

The cost of each t-shirt is $7