Answer:
The cost of one shirt is $16 and the cost of one sweater is $20.
Step-by-step explanation:
Let the cost of one shirt be x and the cost of one shirt be y.
7x + 4y = 192 -----Equation 1
8x + 7y = 268 -----Equation 2
Equations 2-1:
8x + <em>7y</em> - 7x <em>- 4y</em> = 268 - 192
x + 3y = 76
x = 76-3y -----Equation 3
Subsitute x = 76-3y into Equation 1:
7x + 4y = 192
7(76-3y) + 4y = 192
532 - 21y + 4y = 192
532 - 17y = 192
-17y = 192-532
-17y = -340
17y = 340
y = 340 ÷ 17
y = 20 (The cost of one sweater is $20)
Substitute y = 20 into Equation 3:
x = 76-3y
x = 76 -3(20)
x = 76 - 60
x = 16 (The cost of one shirt is $16)
