Solving Systems of Linear Equations: Linear Combinations — Unit test Answers

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

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

2x + 4y = 12y = x – 3

What is the x-value of the solution to the system of equations?5x + 4y = 82x − 3y = 17

The solution to the system of equations shown is (2, 0).3x − 2y = 6 x + 4y = 2When the first equation is multiplied by 2, the sum of the two equations is equivalent to 7x = 14.

Which is the best approximation for the solution of the system of equations?y = x + 1y = 3x – 2

Shawn and Dorian rented bikes from two different rental shops. The prices in dollars, y, of renting bikes from the two different shops for x hours is shown.Shop Shawn used: y=10+3.5xShop Dorian used: y=6x

y = 5x + 23x = –y + 10

The table can be used to determine the solution of equations, 2x − 2y = 6 and 4x + 4y = 28.Which solution can be used to fill in both blanks in the table?

Which statements about the system are true? Select two options.y = x – 43y – x = –7The system has one solution. The system consists of parallel lines.Both lines have the same slope. Both lines have the same y–intercept.The equations represent the same line.

Heather writes the equations below to represent two lines drawn on the coordinate plane.–6x + 18y = 0 4x – 12y = 20

What is the solution to the system of equations?y = 2x – 3.5x – 2y = –14

The math team wraps gifts as a way to raise money for traveling to competitions. They offer two choices: a plain wrapping or a decorative wrapping with bows. The table represents the money raised over a busy shopping weekend.

What is the y-value of the solution to the system of equations?3x + 5y = 17x + 4y = −13