Bob spent $64 for two shirts, including tax. The difference between the costs of the shirts was $16. Write two equations that yo

Question

3 years ago

6

u will use to solve the system

2 answers:

NemiM [27] · Answer 1 · 2022-09-26T08:10:40+03:00

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

$x+y=64$ ----> equation A

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

so

$x-y=16$ ----> $x=y+16$ ---> equation B

solve the system by substitution

substitute equation B in equation A

$y+16+y=64$

solve for y

$2y=64-16$

$2y=48$

$y=\$24$

Find the value of x

$x=y+16$ ----> $x=24+16=\$40$

therefore

The cost of the shirts are $40 and $24

djyliett [7] · Answer 2 · 2022-09-26T06:04:51+03:00

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

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