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Free SAT Systems of two linear equations practice questionsdigital SAT, 2026 format

Two linear equations in two variables. Find the solution, or the value of a constant that gives no solution or infinitely many.

Answer each question, then read why the right answer is right and why the tempting one is wrong.

Question 1

Math

At a farmers market, Jun bought 3 pounds of apples and 2 pounds of pears for $9.50. At the same prices, Mei bought 1 pound of apples and 4 pounds of pears for $11.50. What is the price per pound of pears?

Question 2

Math

2x + 3y = 7 4x + 6y = c In the given system of equations, c is a constant. If the system has infinitely many solutions, what is the value of c?

Question 3

Math

A store sells pens for $2 each and notebooks for $5 each. In one day the store sold a total of 40 pens and notebooks for a total of $137. How many notebooks did the store sell that day?

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