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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

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User Zorzi
by
3.4k 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
3.0k 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
3.6k points