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
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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