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N76 [4]
2 years ago
12

6x + 3y = -6 2x + y = -2 A. x = 0, y = -2 B. infinite solutions C. x = -1, y = 0 D. no solution

Mathematics
1 answer:
guapka [62]2 years ago
6 0

ANSWER

B. infinite solutions

EXPLANATION

We want to solve the equation;

6x + 3y =  - 6...(1)

and

2x + y =  - 2...(2)

We multiply the second equation by 3 to get:

6x + 3y =  - 6...(3)

We now subtract equation (1) and (3).

6x - 6x + 3y - 3y =  - 6 -  - 6

This implies that

0 = 0

Hence the equation has infinitely many solutions.

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3 years ago
A party rental company has chairs and tables for rent. The total cost to rent 3 chairs and 2 tables is $18. The total cost to re
DerKrebs [107]
C= chair cost
t= table cost

Create two equations with the given information. Solve for one variable in equation one. Substitute that answer in equation two. Then you can solve for the needed information.
3c+2t=$18
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3c+2t=18
Subtract 2c from both sides
3c=18-2t
Divide both sides by 3
c=(18-2t)/3

Substitute the value for c in equation two:
5c+6t=$48
5((18-2t)/3)+6t=48
(90-10t)/3+6t=48
Multiply everything by 3 to eliminate fraction
(3)((90-10t)/3)+(3)(6t)=(3)(48)
90-10t+18t=144
90+8t=144
Subtract 90 from both sides
8t=54
Divide both sides by 8
t=$6.75 cost for table

Substitute the t value to solve for c:
3c+2t=18
3c+2(6.75)=18
3c+13.50=18
3c=4.50
c=$1.50 chair cost

Check:
5c+6t=$48
5(1.50)+6(6.75)=48
7.50+40.50=48
48=48

Hope this helps! :) If it does, please mark as brainliest.
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