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3 years ago

What value does each equation need to be multiplied by in order to eliminate the y terms equation 1 6x-5y=-4 equation 2 4x+2y=28

1 answer:

5 0

In order to eliminate the y term, you need to find what y is equal to in the equation.
1. 6x-5y=-4
-5y=-4-6x
Y=6/5x+4/5
You then sub in 6/5x+4/5 in for y in the equation
2. 4x+2y=28
2y=-4x+28
Y=-2x+14
Hope this helps!

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2 years ago

What is the square root of -2i?

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Step-by-step explanation:

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Next, use the formula $\displaystyle \sqrt[n]{r}\biggr[\cis\biggr(\frac{\theta+2\pi k}{n}\biggr)\biggr]$ where $\displaystyle k=0,1,2,...\:,n-1$ to find the square roots:

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$\sqrt{2}\biggr(cis\frac{7\pi}{4}\biggr)$

$\sqrt{2}(\cos\frac{7\pi}{4}+i\sin\frac{7\pi}{4})\\ \\\sqrt{2}(\frac{\sqrt{2}}{2}-\frac{\sqrt{2}}{2}i)\\ \\1-i$

When k=0

$\displaystyle \sqrt[2]{2}\biggr[cis\biggr(\frac{\frac{3\pi}{2}+2\pi(0)}{2}\biggr)\biggr]$

$\sqrt{2}\biggr(cis\frac{3\pi}{4}\biggr)$

$\sqrt{2}(\cos\frac{3\pi}{4}+i\sin\frac{3\pi}{4})\\ \\\sqrt{2}(-\frac{\sqrt{2}}{2}+\frac{\sqrt{2}}{2}i)\\ \\-1+i$

Thus, the square roots of -2i are 1-i and -1+i

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