Bob spent $64 for two shirts, including tax. The difference between the costs of the shirts was $16. Write two equations that you will use to solve the system

Respuesta :

x+y=64 and x-y=16 can be used to solve the system.

Step-by-step explanation:

Let,

x,y be the two shirts.

According to given statement;

Bob spent $64 on both shirts;

x+y=64    Eqn 1

The difference between the costs of the shirts was $16 means subtraction;

x-y=16      Eqn 2

x+y=64 and x-y=16 can be used to solve the system.

Keywords: linear equation, addition

Learn more about linear equations at:

  • brainly.com/question/902892
  • brainly.com/question/909731

#LearnwithBrainly

Answer:

The cost of the shirts are $40 and $24

Step-by-step explanation:

Let

x ----> the cost of one shirt

y ----> the cost of the other shirt

we know that

[tex]x+y=64[/tex] ----> equation A

I assume that the cost x is greater than the cost y

so

[tex]x-y=16[/tex] ----> [tex]x=y+16[/tex] ---> equation B

solve the system by substitution

substitute equation B in equation A

[tex]y+16+y=64[/tex]

solve for y

[tex]2y=64-16[/tex]

[tex]2y=48[/tex]

[tex]y=\$24[/tex]

Find the value of x

[tex]x=y+16[/tex] ---->  [tex]x=24+16=\$40[/tex]

therefore

The cost of the shirts are $40 and $24