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3 years ago

Solve the system of equations using substitution: 6x – y = –15 X + 2y = 17

Mathematics

1 answer:

defon3 years ago

3 0

Answer:

x = -1

y = 9

Step-by-step explanation:

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An unknown number y is 20 more than an unknown number x. The number y is also x less than 2. The equations to find x and y are s

zloy xaker [14]

Answer:

b)Add the equations to eliminate x.

Step-by-step explanation:

y= x+20

y= - x+2

Result of the addition: (-x cancels x)

2y = 22

y =11

11=x +20 -9 = x

11=9+2

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3 years ago

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Serggg [28]

Answer:

$\frac{15}{17}$

Step-by-step explanation:

$\cos( \alpha ) = \frac{ad}{hip} \\ \\ \sin( \alpha ) = \frac{op}{hip}$

Pythagorean theorem

hip² = op² + ad²

17² = x² + 8²

x² = 17² - 8²

$x \: = \sqrt{{17}^{2} - {8}^{2} } \\ x = \sqrt{289 - 64} \\ x = \sqrt{225} \\ x = 15$

$\sin( \alpha ) = - \frac{15}{17}$

$\sin( - \alpha ) = \frac{15}{17}$

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