AnswersMO-Algebra I ASolving Systems of Linear Equations: Substitution

Solving Systems: Introduction to Linear Combinations Answers

0 verified answers
1
Free Preview

What is the x-value in the solution to this system of linear equations?2x − y = 11x + 3y = −5

A
−3
B
−1
C
2
D
4
2
Free Preview

What is the solution (q, r) to this system of linear equations?12q + 3r = 15–4q – 4r = –44

A
(–18, 29)
B
(–2, 13)
C
(8, –1)
D
(15, –44)
3

The solution to the system of equation below is (−2, −1).2x − 3y = −1 11x − 9y = −13When the first equation is multiplied by −3, the sum of the two equations is equivalent to 5x = −10.

A
5x = −10 11x − 9y = −13
B
2x + 9y = −1 11x − 9y = −13
C
−6x + 9y = −1 11x − 9y = −13
D
−6x + 3y = −1 5x = −10
4

Fiona and her friends went to a smoothie shop. They ordered three strawberry smoothies and two protein shakes for a total of $24.00. Last week they ordered one strawberry smoothie and four protein shakes for a total of $25.50. The system that represents their purchases is below.x + 4y = 25.503x + 2y = 24.00What is the price of a protein shake?

A
$3.75
B
$4.50
C
$4.95
D
$5.25
5

What is the solution to this system of linear equations?2x + 3y = 37x – 3y = 24

A
(2, 7)
B
(3, –21)
C
(3, –1)
D
(9, 0)
6

Jillian is selling boxes of cookies to raise money for her basketball team. The 10 oz. box costs $3.50, while the 16 oz. box costs $5.00. At the end of one week, she collected $97.50, selling a total of 24 boxes. The system of equations that models her sales is below. x+ y= 243.50x + 5.00y = 97.50Solve the system of equations. How many 10 oz. boxes were sold?

A
6
B
9
C
12
D
15
7

Kat has 19 coins, all quarters and dimes, that are worth a total of $4. The system of equations that can be used to find the number of quarters, q, and the number of dimes, d, she has is shown.q + d=190.25q + 0.1d=4

A
4
B
5
C
14
D
15
8

What is the solution (a, b) to this system of linear equations?3a+6b=452a-2b=-12

A
(-27, 6)
B
(-1, 7)
C
(1, 7)
D
(27, -6)
9

Jarred sells DVDs. His inventory shows that he has a total of 3,500 DVDs. He has 2,342 more contemporary titles than classic titles. Let x represent the number of contemporary titles and y represent the number of classic titles. The system of equations models the given information for both types of DVDs.x + y = 3,500x – y = 2,342Solve the system of equations. How many contemporary titles does Jarred have?

A
1,158
B
1,737
C
2,342
D
2,921
10

What is the solution to this system of linear equations?x − 3y = −2x + 3y = 16

A
(7, 3)
B
(3, 7)
C
(−2, −3)
D
(−3, −2)

Did you find these answers helpful?