Solving Systems of Linear Equations: Substitution — Unit test Answers

The equations –a – 7b = 14 and –4a – 14b = 28 represent a system of linear equations. Which statement correctly explains how to eliminate the variable b when solving the system of equations?

On a coordinate plane, 2 dashed straight lines are shown. The first line has a positive slope and goes through (negative 1, 0) and (0, 1). Everything to the right of the line is shaded. The second line has a negative slope and goes through (negative 2, 0) and (2, negative 4). Everything to the right of the line is shaded.

2x + 4y = 12y = x – 3

On a coordinate plane, a dashed straight line has a negative slope and goes through (0, 2) and (4, 0). Everything below and to the left of the line is shaded.

Lukas graphed the system of equations shown.2x + 3y = 2y = x + 3What is the solution to the system of equations?

Which is true about the solution to the system of inequalities shown?y > 3x + 1y < 3x – 3

A system of equations has infinitely many solutions. If 2y – 4x = 6 is one of the equations, which could be the other equation?

On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 3, negative 3) and (3, 1). Everything below and to the right of the line is shaded.

Which ordered pair (r, s) is the solution to the given system of equations?