Answer:
x = 4, y = 8
Step-by-step explanation:
If the triangles are congruent by the HL Theorem, it means that the hypotenuse and one leg of the right triangle are congruent to the corresponding one leg and hypotenuse of the other.
Thus;
2x - 5 = y - 5 (Eqn 1) and
y - 3 = x + 1 (Eqn 2)
Thus:
Rewrite equation 1
2x = y - 5 + 5
2x = y
Substitute y = 2x in equation 2.
y - 3 = x + 1 (Eqn 2)
2x - 3 = x + 1
Collect like terms
2x - x = 3 + 1
x = 4
Substitute x = 4 in equation 1
2x - 5 = y - 5 (eqn 1)
2(4) - 5 = y - 5
8 - 5 = y - 5
3 = y - 5
3 + 5 = y
8 = y
y = 8
Answer:
x = 3 and y = 2
Step-by-step explanation:
y = 3x - 7
substituting for y in 4x + 3y = 18, we will have
4x + 3(3x -7) = 18
4x + 9x - 21 = 18
13x = 18 + 21
13x = 39
x = 3
Substituting for x in y = 3x -7, we have
y = 3(3) - 7
y = 9 - 7
y = 2
I’m pretty sure it’s A so sorry if I’m wrong!
Answer:
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Step-by-step explanation:
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Your equation has no solution.
Hope this helped! c: