71.6k views
21 votes
Solve using the method of elimination and determine if the system has 1 solution, no solutions, or infinite solutions

-7x+2y=-19
6x+8y=26

Show All work

User Zorzi
by
8.2k points

2 Answers

6 votes

-42x + 12y = -114
42x + 56y = 182
68y = 68

y = 1

6x + 8(1) =26
6x = 18

x = 3

-7(3) + 2(1) = -19
-21 + 2 = -19


One solution
User Vtni
by
7.8k points
11 votes

Answer:

(3,1) --> One solution

Explanation:

Start by multiplying the first equation by 4:

-7x(4)+2y(4)=-19(4)

-28x+8y=-76

In this scenario, we can eliminate 8y by subtracting the two equations:

-34x=-102

Divide both sides by -34

x=3

Plug 3 back in for x to solve for y

-7(3)+2y=-19

-21+2y=-19

Add 21 to both sides

2y=2

Divide both sides by 2

y=1

(x,y)=(3,1)

User Subhan
by
7.8k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories