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A student bought a calculator and a textbook for a course in algebra

A student bought a calculator and a textbook for a course in algebra-example-1

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To solve the system by substitution, first, we substitute the second equation in the first one and get:


4y+20+y=145.

Adding like terms we get:


5y+20=145.

Subtracting 20 from the above equation, we get:


5y=145-20=125.

Dividing by 5, we get:


y=25.

Substituting y=25 in the second equation of the system, we get:


x=4(25)+20.

Simplifying the above result, we get:


x=100+20=120.

Answer:


(120,25)\text{.}

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