Solving Linear Systems

What is the solution to the system

 $y=3x+5$ and  $y=3x-10$  

• (1, 2)

• no solution

• (0, 4) 

• all real numbers

What is the slope of the line passing through (4, 4) and (-4, 6)

• - 4

• 0

• no slope or undefined

• $-\frac{1}{4}$

 $y=8x-3\ and\ y=-x+2$  

Determine whether (1, 5) is a solution to the system

• yes

• no

What is the solution to the system $y=x+5\ and\ x=2$  

• (0, 2)

• (2, - 3)

• (2, 7)

• (0, 6)

If a system has an infinite number of real numbers, what does the graph look like?

• intersecting lines

• skew lines

• parallel lines

• the same line

Which equation has a slope of -2 and a y-intercept of 9?

• y = 9x - 2

• y = - 2x - 9

• y = - 9x+ 2

• y = - 2x + 9

 $y=\frac{1}{2}x+5\ and\ x=2$  

Which is a solution to the system

• no solution

• (6, 2)

• (2, 6)

• (2, 9)

 $3x+2y=16\ and\ x=y+1$  

What equation would be created when solving the system of equations by substitution?

• 3x + 2y = y + 1

• 3x + x = 16

• 3x + 2(y + 1) = 16

• 3(y + 1) + 2y = 16

 $\left(x^2-5x-2\right)-\left(-5x^2-4x-7\right)$  

Perform the indicated operation

•  $6x^2-x+5$  

•  $6x^2+x+5$  

•  $6x^2-9x-5$  

•  $6x^2+x-5$  

 $3x-y=8\ and\ x+y=2$  

Which ordered pair satisfies the system of equations?

• (3, -1)

• (2.5, - 0.5)

• (2.5, 0.5)

• (5, - 3)