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Parallel Lines find the missing values of x and y equation

This was a level 4+ question I was given on a quiz, and I am going to retake it and want to know how to solve this. I don’t understand at all! Someone please help!

Parallel Lines Find The Missing Values Of X And Y Equation This Was A Level 4 Question I Was Given On A Quiz And I Am Going To Retake It And Want To Know How To class=

Sagot :

Iciclepiano18idn

Answer:

[tex]x=90\\y=-40[/tex]

Step-by-step explanation:

Let's set up a system of equations using the given information.

x+y=50

x-y=130

We can solve this system using elimination. In this case, we can eliminate x by subtracting the two equations.

[tex]x-x+y-(-y)=50-130\\x-x+y+y=50-130[/tex]

[tex]2y=-80[/tex]

Divide both sides by 2.

[tex]y=-40[/tex]

Then, plug -40 in for y to solve for x:

[tex]x+y=50\\x+(-40)=50\\x-40=50\\\text{Add 40 to both sides}\\x=90[/tex]

Therefore..

[tex]x=90\\y=-40[/tex]

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