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Ostrovityanka [42]
2 years ago
8

How do i do this y=−x+2 y=3x−4 ​

Mathematics
1 answer:
Paul [167]2 years ago
5 0

Answer:

x = 1.5 , y = 0.5

Step-by-step explanation:

y = - x + 2 → (1)

y = 3x - 4 → (2)

substitute y = 3x - 4 into (1)

3x - 4 = - x + 2 ( add x to both sides )

4x - 4 = 2 ( add 4 to both sides )

4x = 6 ( divide both sides by 4 )

x = \frac{6}{4} = 1.5

substitute x = 1.5 into either of the 2 equations and solve for y

substituting into (1)

y = - 1.5 + 2 = 0.5

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To find sin x and cos y, we must first find the length of the <u>hypotenuse</u> (PO) of the given right triangle.  

To do this, use <u>Pythagoras' Theorem:</u>

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Using the found value of the hypotenuse and the trig ratios quoted above:

\implies \sf \sin(x)=\dfrac{6}{10}=\dfrac{3}{5}

\implies \sf \cos(y)=\dfrac{6}{10}=\dfrac{3}{5}

Therefore, \sf \sin(x)=\cos(y)

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