Quiz: Systems by Graphing & Substitution

What is the first step in solving a system of equations by substitution?

• Make sure both equations are in standard form.

• Look for an equation in the form y=_______ or x=__________.

• Make sure both equations are in slope-intercept form.

• Make sure both equations can be solved.

y = -6x + 5

-2x + y = 5

• (-3, -6)

• (-6, 3)

• (0, 5)

• (5, 0)

If a system of equations has no solution, what does the graph look like? 

• intersecting lines
• parallel lines
• skew lines
• intersecting lines

Solve the system of equations.

• (-6, 1)

• (0, 0)

• (1, -6)

• No solution

• Infinite solutions

When solving a system of equations algebraically, which statement results in infinite solutions?

• 4 = 7

• 2 = 2

• -3 = 3

• all of the above

When solving a system of equations algebraically, which statement results in no solution?

• 4 = 7

• 2 = 2

• -3 = -3

• all of the above

Solve the system of equations.

• (3, -24)

• (0, 4)

• (-24, 3)

• No solution

• Infinite solutions

Which graph represents a system of equations with infinite solutions?

• 
• 
• 
• None of the above

Solve by substitution

 $-9x-3y=-2$  

 $y=-3x-4$  

• Infinite solutions

• No solution

•  $\left(3,-13\right)$  

•  $\left(0,\frac{2}{3}\right)$  

Solve the following by substitution

 $x=-8y-15$ 

 $7x+8y=-9$  

• Infinite solutions

• No solutions

•  $\left(-2,1\right)$  

•  $\left(1,-2\right)$