Solving Systems of Linear Equations: Graphing Quiz

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Raphael graphed the system of equations shown. What is the best approximation for the solution to this system of equations?

Answer: ✔ (-2.2, -3)

What is the solution to the system of linear equations?

Answer: ✔ (0, 2)

Which is the best approximate solution of the system of linear equations y = 1.5x - 1 and y = 1?

Answer: ✔ (1.33, 1)

What value of b will cause the system to have an infinite number of solutions?

Answer: ✔ -6

Answer: ✔ 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

Answer: ✔ m = -2 and b = -1/3 m = -2 and b = -2/3

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

Answer: ✔ y = -4x + 5

Tomas wrote the equation y = 3x + 3/4. When Sandra wrote her equation, they discovered that her equation had all the same solutions as Tomas's equation. Which equation could be Sandra's?

Answer: ✔ -6x + 2y = 3/2

Sylvie finds the solution to the system of equations by graphing. y = 2/3 x + 1 and y -2/3= x - 1 Which graph shows the solution to Sylvie's system of equations?

Answer: ✔ C

Muriel says she has written a system of two linear equations that has an infinite number of solutions. One of the equations of the system is 3y = 2x - 9. Which could be the other equation?

Answer: ✔ y = 2/3x - 3


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