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4 years ago

Please help finals are tomorrow

Mathematics

1 answer:

Bogdan [553]4 years ago

6 0

ΔQTR and ΔSTP are similar triangles. The corresponding sides of similar triangles are the same length.
TR = PT
TS = QT

Input the algebraic expression to make an equation system
PT = TR
y = 2x - 1 (first equation)

TS = QT
6x + 13 = 5y
6x - 5y = -13 (second equation)

Using subtitution method, subtitute y with 2x - 1 from first equation into the second equation, to find the value of x
6x - 5y = -13
6x - 5(2x - 1) = 13
6x - 10x + 5 = 13
-4x + 5 = 13
-4x = 13 - 5
-4x = 8
x = 8/-4
x = -2

Find y with subtituting x with -2 in the first equation
y = 2x - 1
y = 2(-2) - 1
y = -4 - 1
y = -5

Answer:
x = -2
y = -5

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