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Sunny_sXe [5.5K]
3 years ago
9

How do i solve the linear system -14x+15y=15 21x-20y=-10 using elimination

Mathematics
1 answer:
valina [46]3 years ago
4 0
Solve the following system using elimination:
{15 y - 14 x = 15 | (equation 1)
{21 x - 20 y = -10 | (equation 2)

Swap equation 1 with equation 2:
{21 x - 20 y = -10 | (equation 1)
{-(14 x) + 15 y = 15 | (equation 2)

Add 2/3 × (equation 1) to equation 2:
{21 x - 20 y = -10 | (equation 1)
{0 x+(5 y)/3 = 25/3 | (equation 2)

Multiply equation 2 by 3/5:
{21 x - 20 y = -10 | (equation 1)
{0 x+y = 5 | (equation 2)

Add 20 × (equation 2) to equation 1:
{21 x+0 y = 90 | (equation 1)
{0 x+y = 5 | (equation 2)

Divide equation 1 by 21:
{x+0 y = 30/7 | (equation 1)
{0 x+y = 5 | (equation 2)

Collect results:

Answer:  {x = 30/7, y = 5
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{x}^{2}  =  \sqrt{3} y
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*Divide Both sides by
\sqrt{3}
\frac{ {x}^{2} }{ \sqrt{3} }  =  \frac{ \sqrt{3} y}{ \sqrt{3} }
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4 0
3 years ago
WILL MARK BR HELP ME PLZ FAST AS POSSIBLE
posledela
<h2>Answer:</h2>

<h2>cos theta= adjacent side/ hypotenuse</h2><h2 /><h2>cos theta= adjacent side/ hypotenusecos 36= x/8</h2><h2 /><h2>cos theta= adjacent side/ hypotenusecos 36= x/8√5+1/4 = x/8</h2><h2 /><h2>cos theta= adjacent side/ hypotenuse </h2>

cos 36= x/8√5+1/4 = x/8

4.7 is the approximate answer

8 0
2 years ago
Im stuck ....<br> What is the solution for the equation 2(3x−7)=−4(x+5)+3? <br> plss show work
Ipatiy [6.2K]

Answer:

2(3x - 7) =  - 4(x + 5) + 3 \\ 6x - 14 =  - 4x - 20 + 3 \\ 6x + 4x =  - 20 + 3 + 14 \\ 10x =  - 3 \\  \\ x =  \frac{ - 3}{10}  \\  \\ x =  - 0.3

I hope I helped you^_^

5 0
2 years ago
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