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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

Respuesta :

calculista

Answer:

The cost of each t-shirt is $7

Step-by-step explanation:

Let

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

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

we know that

Moyne

[tex]8x+15y=193[/tex] ----> equation A

Steven

[tex]3x+12y=117[/tex] ---> equation B

Solve by elimination

Multiply equation B by -8/3 both sides

[tex]-\frac{8}{3}(3x+12y)=-\frac{8}{3}(117)[/tex]

[tex]-8x-32y=-312[/tex] -----> equation C

Adds equation A and equation C

[tex]8x+15y=193\\-8x-32y=-312\\-------\\15y-32y=193-312\\-17y=-119\\y=7[/tex]

therefore

The cost of each t-shirt is $7

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