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1 vote
Given: x + 2y = -6.

Solve for y. Given: x + y = 6. If x {-15, -6, -1}, then which of the following sets of ordered pairs are solutions?

A.(-15, -21), (-6,-12), (-1,-7)

B.(-15,21), (-6,12), (-1,7)

C. (-15,21), (-6,12), (-1,-7)

2 Answers

3 votes
Solution of x+2y=-6, y=-3-x/2
Answer B for the correct ordered pairs.
User Steve Tauber
by
7.8k points
4 votes

Answer:

1.
y=(-6-x)/(2)

2.B.(-15,21), (-6,12), (-1,7)

Explanation:

In order to solve for Y the first equation you just have to clear the Y from one side of the equation, and we just do it by steps:


x + 2y = -6.\\x + 2y + (-x)= -6+ (-x)\\(2y)/(2)=(-6-x)/(2) \\y=(-6-x)/(2)

First you add in both sides of the equation a -x to eliminate the X on the Y side of the equation, and then you divide both sides of the equation by 2, to eliminate the 2 from the Y side of the equation, and now you have you equation solved for Y.

To calculate which pair od solutions are correct, you just have to input the values for X into the equation:


x+y=6\\(-15)+y=6\\y=6+15\\y=21

So our first pair would be (-15,21)


x+y=6\\(-6)+y=6\\y=6+6\\y=12

So our second pair would be (-6,12)


x+y=6\\(-1)+y=6\\y=6+1\\y=7

So our third pair would be (-1,7), and the answer is option "B".

User XIsra
by
7.4k points

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