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Mathematics 19 Online
payton:

What is the solution to the system of equations? y = 2x – 3.5 x – 2y = –14 (–7, 3.5) (3.5, –7) (7, 10.5) (10.5, 7)

payton:

its hard to know when you cant go to school fo the rest of the year

QuestionCoveBot:

You're trying to find X and Y, right?

payton:

mhm

ramen:

this one is different bc we have x= and y=. you can do either one but either plug y=2x-3.5 into the y variable of the second equation or plug x-2y=-14 into the x variable of the first equation.

ramen:

oop i read it wrong sorry

QuestionCoveBot:

Ramen, it's x-2y=14, x= nothing, yet.

ramen:

ik. anyway you can plug y=2x-3.5 into the y variable of the other equation: x-2(2x-3.5)=-14. with this, we have to use distribution

TheSmartOne:

Plug equation #1 into the second equation and solve for x

QuestionCoveBot:

y = 2x - 3.5 x - 2 y = -14 Plug the first equation into the second equation like so; x - 2 ( 2x - 3.5 ) = -14 Distribute -2 to 2x and -3.5 Your equation should now look like this: x - 4x + 7 = -14 You want common numbers to be in the same side so you subtract 7 from both sides x - 4x + 7 - 7 = -7 - 14 Now simplify both sides x - 4x = -3x - 7 - 14 = -21 In order to solve for x you need to get x by itself, so you divide both sides by -3 -3x / -3 = x -21 / -3 = 7 x = 7 In order to solve for y you need to plug x in

QuestionCoveBot:

You can plug it into either equation

ramen:

nice work and showing steps, but next time avoid giving the direct answer of X.

QuestionCoveBot:

Okay

payton:

c

QuestionCoveBot:

What do you get for Y payton?

payton:

yes it is and y is 10.5 so my answer was c

payton:

its okay

ramen:

yes C is correct.

ramen:

because -14=-14 when you plug 7 in replacement of x

payton:

thank you TSO,ramen, and QuestionCoveBot!!!

TheSmartOne:

my pleasure :)

QuestionCoveBot:

np

ramen:

yw

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