The cost of one sweatshirt is $19.
Step-by-step explanation:
Let,
Cost of one pair of jeans = x
Cost of one sweatshirt = y
According to given statement;
5x+2y=233 Eqn 1
3x+4y=193 Eqn 2
Multiplying Eqn 1 by 2
[tex]2(5x+2y=233)\\10x+4y=466\ \ \ Eqn\ 3[/tex]
Subtracting Eqn 2 from Eqn 3
[tex](10x+4y)-(3x+4y)=466-193\\10x+4y-3x-4y=273\\7x=273[/tex]
Dividing both sides by 7
[tex]\frac{7x}{7}=\frac{273}{7}\\x=39[/tex]
Putting x=39 in Eqn 2
[tex]3(39)+4y=193\\117+4y=193\\4y=193-117\\4y=76[/tex]
Dividing both sides by 4
[tex]\frac{4y}{4}=\frac{76}{4}\\y=19[/tex]
The cost of one sweatshirt is $19.
Keywords: linear equation, subtraction
Learn more about subtraction at:
- brainly.com/question/3071107
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