# Learning the System of Linear Equations

In this quiz, you will get to know about the system of linear equations. You will learn about different methods of solving a system of equations. You will also learn about classifying the system of equations.

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Is (1,2) a solution to this system of equations?

3x + 8y = 19

x + 4y = 9

yes

no

Is (1,1) a solution to this system of equations?

9x + y = 10

6x + y = 11

yes

no

How many solutions does the system of equations below have?

y = (5/2)x + 5/6

y = (5/2)x + 5/2

no solution

one solution

infinitely many solution

How many solutions does the system of equations below have?

y = (8/9)x + 10

y = (8/3)x - 7/5

no solution

one solution

infinitely many solution

Which describes the system of equations below?

y = 2x + 9

y = (4/3)x + 5/9

consistent and independent

inconsistent

consistent and dependent

Which describes the system of equations below?

y = 8x + 4

y = 8x + 4

consistent and independent

inconsistent

consistent and dependent

Solve using substitution.

-2x + 5y = 18

y - 4 = 0

(1,4)

(2,4)

(4,1)

(4,2)

Write a system of equations to describe the situation below, solve using substitution, and fill in the blanks.

Two tailors, Wendy and Haley, sit down to do some embroidery. Wendy can embroider 2 shirts per hour, and Haley can get through 6 shirts per hour. In addition, the tailors had previously finished some shirts. Wendy has already completed 20 shirts, and Haley has completed 4 shirts. Wendy and Haley decide to take a break when they have finished the same total number of shirts. How many shirts, in total, will each tailor have finished? How long will that take?

Each tailor will have finished a total of shirts ##28## in ##4## hours.

6 4 24 28

Solve using elimination.

-2x - 4y = -12

x - 4y = 12

(1,-8)

(8,2)

(8,-1)

(2,8)

Solve using Substitution.

x - 4 = 0

9x + 5y = 16

(-4,4)

(4,-4)

(4,-2)

Quiz/Test Summary
Title: Learning the System of Linear Equations
Questions: 10
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