Solving Systems of Linear Equations: Graphing

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

-6

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

(1.83, 1)

y = 1/2x + 4 x + 2y = -8 How many solutions does this linear system have?

no solution

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

one solution: (2.5, 0)

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

m = -2 and b = -1/3 m = -2 and b = -2/3

What is the solution to the system of linear equations?

(0, 2)

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?

y = 2/3x - 3

Fiona wrote the linear equation y = 2/5x - 5. When Henry wrote his equation, they discovered that his equation had all the same solutions as Fiona's. Which equation could be Henry's?

x - 5/2y = 25/2

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

y = -4x + 5

A system of equations has no solution. If y = 8x + 7 is one of the equations, which could be the other equation?

y = 8x - 7