Solving Systems of Equations

Solve y=-x+4 and y=2x+4

• (0,4)

• (2,4)

• (-1,3)

• (4,0)

These two lines intersect at _____

• (4, -2)

• (4, 2)

• (-2, 4) 

• No solution

When you graph the exact same equation twice,

• you will have no solution. 

• you will have one solution.

• you will have infinite solutions. 

• you will graph a giraffe. 

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

• intersecting lines

• parallel lines

• skew lines

• the same line (coinciding lines)

Is (1,10) a solution to

y=7x+5

y=x+9

• yes

• no

Is (1,7) a solution for

y=3x+4

y=x+6

• yes

• no

Some students want to order shirts with their school logo. One company charges $9.65 per shirt plus a setup fee of $43. Another company charges $8.40 per shirt plus a $58 fee. Which equation represents the number of shirts when both companies charge the same amount?

• y = 9.65 + x
  y = 8.40 + x

• y = 9.65x + 43
  y = 8.40x + 58

• y =9.65x
  y = 8.40x

• y = 9.65x - 43
  y = 8.40x - 58

What is the solution to the system?

• (0, 3)

• (1, -1)

• (-3, 1)

• (1, 3)

What is the solution of the two linear equations shown?

• (2,2)

• (0,0)

• (1,2)

• None of these

Solve the system given:
3x - y = 7
2x + y = 3

• (-1,2)

• (5,4)

• (4,5)

• (2,-1)