Question

Select an ordered pair from the choices below that is a solution to the following system of inequalities: 2y < -5 + x -x + y < 7
(5, 0) (-1, -4) (3, -1) (2, 5)

Answer 1

can you help me with this one @gypsy1274

Answer 2

Well, you can do this two ways... You can plug in each value for x and y (I think that's cheating and a failing of multiple choice questions) or you can solve this system of inequalities using substitution or addition/subtraction.

Answer 3

First, let me see if I understand the question:
\(2y<-5+x\) and \(-x+y<7\)

Answer 4

ok

Answer 5

Here is my demonstration of systems of equations by substitution:
inequalities are treated the same way, except that the inequality will reverse when multiplying or dividing by a negative number.
\(2x – 3y = –2\) and \(4x + y = 24\)
I'm going to choose the second equation and solve for y.
\(4x+y=24\)
First, isolate y by subtracting both sides by \(4x\):
\(y = 24 − 4x\)
If y had a coefficient(other than 1) you would divide both sides by that number. It doesn't so we are done with this step.
Now, Substitute \(24−4x\) for y in the other equation:
\(2x − 3(24 − 4x) = −2\)
And solve this equation using Order of Operations. Parenthesis:
\(2x − 72 + 12x = −2\)
Combine like terms by adding 72 to each side then combine the x terms:
\(14x = 70\)
Divide both sides by 14 to isolate the x:
\(x = 5\)
Now, substitute 5 into each equation and solve for y: (hint: you should get the same answer on each equation - this is how you know you are correct.)
\(2x – 3y = –2\) and \(4x + y = 24\)
\(2(5) – 3y = –2\) and \(4(5) + y = 24\)
\(10 – 3y = –2\) and \(20 + y = 24\)
\(−3y = −12\) and \( y = 4\)
\(y = 4\)

Answer 6

? thats alot to take in

Answer 7

Yes it is. One step at a time (and that is a good point, I should number the steps.)
Pick one equation and one variable to solve for.

Answer 8

I would suggest a variable that has no coefficient. It just makes the calculations easier, but it really doesn't matter.

Answer 9

my mom helped me on this one sorry this was a question i already did i forgot iorgot i did it oops silly me thank you tho sorry

Answer 10

Mistakes make us human. And now I know to break up my explanation into smaller bits.
Thanks for pointing that out. :-)

Answer 11

your welcome :)