Algebra Systems Study Guide

Solve the system by graphing

y = 1/3x + 2

y = -x - 2

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Does the system of equations have no solution or infinitely many solutions?

2x + y = 2

y = -2x - 1

• infinitely many solutions

• no solution

Estimate the solution of the system of equations.

Aaron starts walking at a rate of 3 mi/h on a road toward a store 10 mi away. Zhang leaves the store when Aaron starts walking, and he walks toward Aaron along the same road at 2 mi/h. How many hours will pass before they meet?

• 1.5 hours

• 10 hours

• 2 hours

• 3 hours

What is the solution of the systems of equations?

y = 1/8x - 1

-5x + 4y = -13

What is the solution of the system of equations?

y = 1/3x + 2

-x + 3y = 6

• (3, 5)

• No solution

• Infinitely Many Solutions

• (-6, 0)

Henry sells rings for $8 each. His expenses are $1.50 per ring, plus $91 for supplies. How many rings does he need to sell for his revenue to equal his expense?

• 140

• 9

• 10

• 14

What is the solution of the system of equations?

5x - 4y = - 10

3x + 2y = 16

Which system has the same solution as the system of equations shown?

8x + 3y = 5

4x + 2y = 3

• 8x + 3y = 5

  -8x + 4y = 6

• 8x + 3y = 5

  -8x - 4y = -6

• 16x + 6y = 5

  12x - 6y = 9

• 8x + 3y = 5

  8x + 4y = 3

What is the solution of the system of equations?

5x + 2y = 6

4x - 8y = 0