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Help please h thank you

Help please h thank you-example-1

2 Answers

3 votes

Answer:

No solution

Explanation:

We are given these two following equations and we are to figure out many solutions these system of equations have:


y = -x -3 --- (1)


2y + 2x = -6 --- (2)

Substituting the value of y from equation 1 into equation 2 to get:


2y + 2x = -6


2 (-x -3) + 2x = -6


-2x - 6 + 2x = -6

Here both the variables and the constants cancel each other and we end up with a contradiction. So the correct answer option is A. No solution.


User Westonplatter
by
8.1k points
5 votes

Answer:

More than 1 solution

Explanation:

y = -x-3

2y+2x = -6

Take the second equation and subtract 2x from each side

2y+2x-2x = -2x-6

2y = -2x-6

Divide by 2

2y/2 = -2x/2 -6/2

y = -x-3

The second equation is identical to the first, so they are the same line.

That means they have infinite solutions, or more than 1 solutions

User Barbarossa
by
7.9k points

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