Answers NC-Math 2Solving Linear Systems by Substitution

Solving Linear Systems by Substitution Answers

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What is the solution to the following system of equations?

(–2, 7)

(2, 3)

(3, 2)

(7, –2)

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

–7

–3

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?

$1.33

$1.50

$2.20

$3.10

Which statement describes the system of equations?

It has infinitely many solutions.

It has no solution.

It has one solution .

It has one solution (8, 2).

What is the solution to the following system of equations?

It has infinitely many solutions.

It has no solution.

It has one solution (2, –3).

It has one solution (4, 0).

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

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

When Lucia solved for the value of y, she treated –2y as 2y.

When Lucia solved for the value of x, she added 18 to both sides.

When Lucia solved the second equation for x, she treated –2(–9) as 18 instead of –18.

Mira is playing a game where she is trying to toss a ball into a large basket or a small basket. The large basket is worth 2 points, and the small basket is worth 3 points. Mira made 15 baskets for a total of 35 points. If x represents the number of large baskets made and y represents the number of small baskets made, how many large baskets did she make?