Solving Systems of Linear Equations: Graphing

Which is the best approximate solution of the system of linear equations y = 1.5x - 1 and y = 1? (0.33, 1) (1.33, 1) (1.83, 1) (2.33, 1)

(1.33, 1)

How many solutions does this linear system have? y = 2x - 5 -8x - 4y = -20 one solution: (-2.5, 0) one solution: (2.5, 0) no solution infinite number of solutions

one solution: (2.5, 0)

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

-6

y=-6x+2-12x - 2y=-4 How many solutions does this linear system have? one solution: (0, 0) one solution: (1, -4) no solution infinite number of solutions

infinite number of solutions

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

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

y=-x + 4x + 2y=-8 How many solutions does this linear system have? one solution: (8, 0) one solution: (0, 8) no solution infinite number of solutions

no solution

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? (-3.2, -3) (-2.9, -3) (-2.2, -3) (-1.9, -3)

(-2.2, -3)

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. (1.9, 2.5) (2.2, -1.4) (2.2, -1.35) (1.9, 2,2) (1.9, 1.5)

(2.2, -1.4) (2.2, -1.35)

Tomas wrote the equation y = 3x +. 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? -6x + y = 6x + y = -6x + 2y = 6x + 2y =

-6x + 2y = 2/3

A system of equations has no solution. If y = 8x + 7 is one of the equations, which could be the other equation? 2y = 16x +14 y = 8x - 7 y = -8x + 7 2y = −16x − 14

y = 8x - 7