Question

How would you create a system of linear equations to solve using substitution for this problem?

Answer 1

we have

x ----> number of hats the sold

y ----> number of scarves they sold

so

12x+15y=690 ------> equation A

y=x+10 -----> equation B

Solve the system of equations

Using substitution Method

substitute equation B in equation A

12x+15(x+10)=690

solve for x

12x+15x+150=690

27x=690-150

27x=540

x=20

Find out the value of y

y=x+10

y=20+10

y=30

therefore

The answer is

20 hats and 30 scarves