Solving Linear Systems by Substitution

Question 1

Lucia tried to solve the system below. Lucia’s Work What error did Lucia make?

Revolt · Accepted Answer

When Lucia solved the second equation for x, she subtracted 2y from both sides.

Question 2

Which first step for solving the given system using substitution results in an equation without fractions?

Revolt · Accepted Answer

Solve for y in the first equation.

Question 3

What is the solution to the following system of equations?

Revolt · Accepted Answer

(3, 2)

Question 4

What is the solution to the system of equations?

Revolt · Accepted Answer

(5, 12)

Question 5

Package A contains 3 birthday cards and 2 thank-you notes and costs $9.60. Package B contains 8 birthday cards and 6 thank-you notes and costs $26.60. If x represents the cost of a birthday card and y represents the cost of a thank-you note, how much does each birthday card cost?

Revolt · Accepted Answer

$2.20

Question 6

Which equation shows the result of substituting and expression for y from the first equation into the second equation for the given system?

Revolt · Accepted Answer

(x + 5) – 2x = 2

Question 7

What is the value of x in the solution to the system of linear equations?

Revolt · Accepted Answer

–3

Question 8

Which statement describes the system of equations?

Revolt · Accepted Answer

It has one solution (0, 1).

Question 9

What is the solution to the system of equations?

Revolt · Accepted Answer

(7, 9)

Question 10

Which first step for solving the given system using substitution results in an equation without fractions?

Revolt · Accepted Answer

Solve for y in the second equation.

Solving Linear Systems by Substitution Answers

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