Substitution Method Systems

Solve the following system of equations: 5x - 4y = 3 and 2x + 3y = 8

• x = 4, y = 3

• x = 2, y = 1

• x = 3, y = 2

• x = 1, y = 5

7. Solve the system of linear equations: 2x + 5y = 13 and 3x - 2y = 4

• x = 4, y = 4

• x = 3, y = 1

• x = 2, y = 3

• x = 5, y = 2

Solve the system by using the substitution method

Which equation in the system is already solved?

• First equation

• Second equation

Which of the equations in the system is solved?

• First equation

• Second equation

Solve for x and y
2x − 3y = −1
 y = x − 1

• (-2,-3)

• (0,-1)

• (3,4)

• (4,3)

Solve for x and y
y = 2x + 1
y = 4x - 1

• (1,3)

• (-1,-3)

• (-1,3)

• (3,1)

Solve the system by substitution. 
3x − 2y = 7 
y = 2x − 7 

• No solution 

•  (7, 7)  

•  (−7, −7)  

•  (−7, −3)  

Solve for x and y
3x + 2y = 16
7x + y = 19

• (-2,5)

• (-2,-5)

• (2,-5)

• (2,5)

Solve:
8x + 4y = 12
y = -2x + 3

• (0,3)

• (3,0)

• No solution(parallel lines)

• Infinitely many solutions