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scoray [572]
2 years ago
15

X-7=11 , 2x+y=19 when using elimination

Mathematics
1 answer:
12345 [234]2 years ago
6 0
X+0=18
2x+y=19 

(-2)x+(-2)0=(-2)18
2x+y=19 

0+y= -17 
2x+ (-17)=19
2x=36

y=-17
x=18
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\displaystyle   x =   \frac{3}{4}

Step-by-step explanation:

we are given that

\displaystyle P =  \left(x,  - \frac{  \sqrt{7} }{4}  \right)

we want to figure out x

remember that,

In <u>unit</u><u> </u><u>circle</u> x coordinate is considered cos and y coordinate is considered sin

so in order to figure out x we should figure out the value of <u>cos</u> to do we can consider <u>Pythagoras</u><u> trig</u><u> </u><u>indentity</u>

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\displaystyle  \sin ^{2} ( \theta)  +  {  \cos}^{2} ( \theta) = 1

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\displaystyle   \left( - \frac{ \sqrt{7}  }{4}  \right) ^{2}   +  {  \cos}^{2} ( \theta) = 1

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\displaystyle  \frac{7}{16}  +  \cos ^{2} ( \theta)  = 1

move left hand side expression to right hand side and change its sign:

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since in unit circle cos is x and P belongs to Q:IV negative cos isn't applicable

hence,

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