Solving Systems of Linear Equations: Graphing

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What value of b will cause the system to have an infinite number of solutions? y = 6x + b -3x + 1/2y = -3

A. -6

A system of equations has 1 solution. If 4x - y = 5 is one of the equations, which could be the other equation?

A. y = -4x + 5

Billy graphed the system of linear equations to find an approximate solution. y = x + y = x - 3 Which points are possible approximations for this system? Select two options.

B. (2.2, -1.4) C. (2.2, -1.35)

Which values of m and b will create a system of equations with no solution? Select two options. y = mx + b y = -2x + 3/2

B. m = -2 and b = 1/3 E. m = -2 and b = -2/3

How many solutions does this linear system have? y = 2x - 5 -8x - 4y = -20

B. one solution: (2.5, 0)

Raphael graphed the system of equations shown. y = - 3 y = x - 0.8 What is the best approximation for the solution to this system of equations?

C. (-2.2, -3)

What is the solution to the system of linear equations? (-3, 0) (-3, 3) (0, 2) (3, 1)

C. (0, 2)

What value of b will cause the system to have an infinite number of solutions? y = 6x - b -3x + y = -3 b = ?

C. 6

Sylvie finds the solution to the system of equations by graphing. y = x + 1 and y = x - 1 Which graph shows the solution to Sylvie's system of equations?

C. intersection @ (-1.5, 0)

What is the solution to the system of equations? 2x - y = 7 y = 2x + 3

C. no solution


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