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Post the full problem please

x=3y-8
5y=19+4x

do you see how to solve for y?

5y=19+12y-32??

but there's two ys

get all the y terms to one side
so subtract 12y from both sides to get the y terms to the left side

-7y=19+(-32)?

good, then combine like terms on the right side

-7y=-13

what comes next

divide both sides by -7?

correct

so y=1.85

I'd leave it as a fraction because the decimal result is only an approximation

oh ok

so then do I plug that in to the next equation?

yes, you'll plug that into `x=3y-8` to find x

so x=-2 3/7

ok thanks so much ! can we just do one more?!

yes

sure

y=3x+3
y=2x+1

y is equal to 3x+3
AND
it's also equal to 2x+1

y=2x+1
3x+3 = 2x+1 ... replace y with 2x+1
solve for x to get x = ??

so do I have to get rid of one of the variables?

isolate your x

move the 2x over
you do this by subtracting 2x from both sides

x=___

1x+3=+1

now subtract 3 from both sides to move that 3 to the right side

1x=-2

which is the same as x = -2

yup

then plug it in

now plug that into either equation to find y

so the solution is (-2,3)

or -3 lol my bad

yes it's (-2,-3)

thank you both so much for your help @jim_thompson5910 @tekman1298