Math 095 - Intermediate Algebra - Prairie State College

11. Solve the following system of linear equations. What is the x-coordinate of your
solution
6x + 3y = 12
(a) x = 6
(b) x = 4
(c) There are infinitely many solutions.
(d) There is no solution.
y = −2x + 4
12. Solve the following system of linear equations. What is the y-coordinate of your
solution
2x + y = 4
(a) y = 1
(b) y = 2
(c) There are infinitely many solutions.
(d) There is no solution.
3x + 2y = 7
Objective 5: Solve application problems that require setting up and solving a system of
two linear equations in two variables.
13. A parking meter contains only nickels and dimes worth $6.05. If there are eightynine
coins in all, what is the value of the nickels alone
(a) $57.00
(b) $3.25
(c) $5.55
(d) $2.85
14. A chemist has two concentrations of hydrochloric acid in stock: a 50% solution
and an 80% solution. How much of each should she mix to obtain 100 milliliters
of a 68% solution
(a) 40 milliliters of 50% solution and 60 milliliters of 80% solution
(b) 60 milliliters of 50% solution and 40 milliliters of 80% solution
(c) 68 milliliters of 50% solution and 32 milliliters of 80% solution
(d) 32 milliliters of 50% solution and 68 milliliters of 80% solution
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