Solving Linear Equations Algebraically

Solve the system of equations.
y = 4x+1
3x + 2y = 13

• (1, 5)

• (5, 1)

• (0.25, 2)

• ∅

Does the system have one, none or infinite solutions?
8x + 4y = 12
y = -2x + 3

• (0,3)

• (3,0)

• No solution(parallel lines)

• Infinitely many solutions

Solve the system of equations.
x + 2y = -3
x - y = -12

• (-9, 3)

• (-7 ,5)

• (3, 15)

• (9, 6)

• No Solution

• (2, 2)

• (-1, 2)

• (-1, -2)

Solve the given pair of linear equations

(a-b)x + (a+b)y = a2 -2ab -b2 

• x=a + b

  y=-2ab/(a +b)

• x=a -b

  y=2ab/(a-b)

• x=a- b

  y= -2ab/(a-b)

• x=a +b

  y= 2ab/(a +b)

y = 3x + 2 and y = -3x + 2

• no solutions

• 1 solution

• infinitely many solutions

Solve the system:
3x + y = 19
2x - y = 6

• (5, 14)

• (4, 5)

• (5, 4)

• (14, 5)

Solve the system:
x + 6y = 17
x - 3y = 8

• (5, 2)

• (11, 1)

• (1, 11)

• no solution

Solve by Substitution:

x = -3y - 17

2x + 3y = -7

• (1, -20)

• (3, 0)

• (-5, -2)

• (10 , -9)

Solve the following systems of equations using substitution:

x = 6

y = 2x - 3

• (6, 6)

• (6, 9)

• (9, 6)

• (9, 9)