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Congruent means equal, so when they say QR is congruent to LN, they mean QR is equal to LN.
Since they want us to find x as well as y, and they give us two cases(LN=QR; OP=VW), it means we will probably have to use a system of equations.
how do we do that?
Are you familiar with substitution and elimination?
|dw:1439264918997:dw| I don't know... this is what I got ..
Elimination does not work with these equations. If it did you would be left with either just the x-variable in your answer or the y-variable in your answer, but not both at the same time.
how do I do the other ones?
We have to use substitution. What we are going to do is pick one of the two original equations and completely isolate a variable. (either x or y will work).
It does not matter which equation you pick.
Can you do that?
how do I isolate the variable ?
Do you understand what I did?
but would that be the answer? because it looks weird, and when I solved it (or attempted to) it was a decimal.
No. it is not. Okay, now we have to get the other equation and substitute y into it. Like so. |dw:1439265853745:dw|
We now have a one-variable equation.
Which means we can solve for x (yay!)
Not quite. And I made a mistake. the y isolation is supposed to be |dw:1439266307629:dw|
the original equation was wrong.
I'm really confused
I will now* solve for x.
so x = 8?
no i am not done.
I have to completely isolate the x.
Listen, can we start over? Because if I keep on going, I may further confuse you.
The answer is x=4 and y=-1
I just made too many mistakes with typing...