The price of jacket was $24.54
Step-by-step explanation:
Let,
Cost of jacket = x
Cost of pair of shoes = y
According to given statement;
x+y=52.95 Eqn 1
x = y-3.87 Eqn 2
Putting value of x from Eqn 2 in Eqn 1
[tex](y-3.87)+y=52.95\\y-3.87+y=52.95\\2y=52.95+3.87\\2y=56.82\\[/tex]
Dividing both sides by 2
[tex]\frac{2y}{2}=\frac{56.82}{2}\\y=28.41[/tex]
Putting y=28.41 in Eqn 2,
[tex]x=28.41-3.87\\x=24.54[/tex]
The price of jacket was $24.54
Keywords: linear equation, division
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