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jarptica [38.1K]
2 years ago
9

5x+3y-2=-43x+2y=-1x+y=-2

Mathematics
1 answer:
sukhopar [10]2 years ago
6 0

You need to isolate either X or Y

For the first problem I decided to isolate the X

I moved the Y and -2 over to the other side of the equal sign. this makes their positive or negative values to turn the opposite. Heres how this looks

5x=-3y-4+2

I then add both the 2 and -4 together to get -2. this is how that would look like

5x=-3y-2

I now have to divide everything by 5 so i can have X by itself. this is what X equals

5/5X= -3/5y-2/5

x=-3/5y-2/5

Now we go back to the problem but we implement the bolded instead of there being an X. This is how that would look like

5(-3/5y-2/5)+3y-2=-4

then I multiply the bolded by 5.

-3y-2+3y-2=-4

from here I just add

-4=-4

I then go back to the original problem and implement the -4 into the Y

5x+3(-4)-2=-4

Solve for x

5x-12-2=-4

5x-14=-4

5x=10

from here we isolate the x by dividing by 5

5/5x=10/5

this leaves us with

x=2

y=-4

To check our answer we imput those into their correct positions. this is how it would look like

5(2)+3(-4)-2=-4

10-12-2=-4

10-14=-4

-4=-4

When both equal the same we know this is True and with that we know the answers are correct. Ill let you try the other 2 so you can get some practice in. (ps. they are easier than the first one)

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