System of Equations by Graphing and Substitution

Solve the following system by setting the two equations equal to each other.  What is the solution?
HINT:  - 1/3x + 4 = 2/3x + 1 and then solve for x.  Once you find x go back and find y.

• Infinite number of solutions

• (3, 3)

• (3, -3)

• (-3, 3)

Solve:
3x + 2y = 16
7x + y = 19

• (-2,5)

• (-2,-5)

• (2,-5)

• (2,5)

The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Which equations represents the system that could be used?

• 1s + 3c = 38
  2s + 3c = 52

• 3s + 1c = 38
  3s + 2c = 52

• s + c = 38
  s + c = 52

• 3s + 3c = 38
  1s + 2c = 52

Solve:
y = 8x + 2
y = -x - 7

• (1, 10)

• (-1, -6)

• (2, 7)

• (9, 9)

Solve:
6x + 2y = -20
y = -2x - 4

• (-5, -14)

• (1, 6)

• (-6, 8)

• (2, -8)

Solve:
y = 4x - 10
y = 3x - 5

• (7 , -15)

• (1, -5)

• (5 , 10)

• (1, 2)

Solve this system of equations by graphing.

y = 4x - 2

y = -x + 3

• (-2,-1)

• (-1,-2)

• (1,2)

• (2,1)

The ordered pair that satisfies BOTH equations in the system is called the _____________________

• system of equations

• function

• graph

• solution 

In 3x + 2y = 10    and    x - 5y = 18, which variable should you isolate first?

• The x in the first equation

• The y in the first equation

• The x in the first equation

• The x in the second equation

Solve the system of equations using substitution:
y = 2x + 5
2x + 2y = 4

• (1, 7)

• (7, 1)

• (2, 9)

• (-1, 3)