Solving Equations Study Guide

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

• (-2,5)
• (-2,-5)
• (2,-5)
• (2,5)

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

what is the first step in the substitution method?

• Step 2
• isolate one of the variables in one of the equations
• substitute in the value of the isolated variable into the other equation

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

• (1, 5)
• (5, 1)
• (0.25, 2)
• ∅

Solve the system given:
-x + y = -4
y = 2x - 11

• (3,7)
• (7,3)
• (4,-3)
• (-3,4)

Solve the system of equations:
y=2x
x + y = 9

• (6, 3)
• (3, 6)
• (-3, -6)
• no solution

Give the solution to the system

• (3,1)
• (1,3)
• (-1,3)
• No solution

Solve for x and y
5x + 3y = 7
y = 4

• (4,1)
• (4,-1)
• (1,4)
• (-1,4)

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

• (-2,-3)
• (0,-1)
• (3,4)
• (4,3)

Solve:
y = 2x -11
-3y = -6x -15

• (-1.5,-4)
• (1.5,4)
• No solution (parallel lines)
• Infinitely many solutions