Find the values of x and y that make these triangles congruent by HL.
A.)x=3, y=4
B.)x=5,y=6
C.)x=6,y=5
D.)x=4,y=3

Question

Find the values of x and y that make these triangles congruent by HL.
A.)x=3, y=4
B.)x=5,y=6
C.)x=6,y=5
D.)x=4,y=3

anonymous · Answer

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anonymous · Answer

Can anybody please help me?

welshfella · Answer

from the diagram 
x = y - 1
3x - 2 = 2y + 1

do you follow that?

anonymous · Answer

Mhm, so how do I do that?

welshfella · Answer

well you have to solve the system of 2 equations to find x and y

anonymous · Answer

Yes, well, I don't get how to do that. Can you please explain it to me??

welshfella · Answer

rearranging 
y   =    x + 1
2y =  3x - 3

now we can solve these 2 by elimination or substitution

anonymous · Answer

How do you do that? Can you show it to be step by step?

welshfella · Answer

ok  by elimination 
multiply the first equation by 2:-
-2y = -2x - 2
and we also have
2y = 3x - 3

adding these 2 equations we have

0 = x - 5
x = 5

now to find y we plug x = 5 into   y = x + 1

y = 5 + 1 = 6

so the answer is x = 5 , y = 6

anonymous · Answer

btw, I love you. THANK YOU :DDD