Solving Systems of Linear Equations: Graphing — Unit test Answers

y=5x – 1–15x – 3y=3

The sum of two positive integers, a and b, is at least 30. The difference of the two integers is at least 10. If b is the greater integer, which system of inequalities could represent the values of a and b?

What is the solution to this system of linear equations?x + y = 4x − y = 6

The graph of a system of inequalities is shown.

Which value of m will create a system of parallel lines with no solution?y=mx-68x-4y=12

On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, negative 2) and (2, 0). Everything to the left of the line is shaded. The second dashed line has a negative slope and goes through (0, 2) and (4, 0). Everything below and to the left of the line is shaded.

What is the solution to this system of linear equations?7x – 2y = –68x + y = 3

Which ordered pair is in the solution set of the system of linear inequalities?y > x – 1y < x – 1

What is the value of y in the solution to the system of equations?x + y = 12x – 3y = –30

A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is the number of 3-point questions and y is the number of 5-point questions, the system shown represents this situation.x + y = 243x + 5y = 100What does the solution of this system indicate about the questions on the test?

What is the solution to the system of equations?y = –5x + 3y = 1

Gillian purchased 25 books at the library book sale. Each hardcover book cost $1.50, and each paperback book cost $0.50. Gillian spent a total of $26.50. The book costs can be represented by the system of equations below. h + p = 251.50h + 0.50p = 26.50

The system of equations can be solved using linear combination to eliminate one of the variables.2x − y = −4→10x − 5y = −203x + 5y = 59→3x + 5y = 59 13x = 39Which equation can replace 3x + 5y = 59 in the original system and still produce the same solution?