8x + 2y= 10 Solve the equation for y ...?

Mathematics

2 answers:

madam [21]4 years ago

8 0

8x+2y=10
-8x -8x

2y=-8x+10
_ _ _
2 2 2

y=-4x+5

kolbaska11 [484]4 years ago

5 0

The solution to your problem is as follows:

8x + 2y = 10

Transpose:

2y = 10 - 8x

Divide both sides by 2:

y = 5 - 4x
I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

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Read 2 more answers

Determine the equation of the inverse of y = 1/4 x^3 - 2

stira [4]

<h3>Answer: $y = \sqrt[3]{4x+8}$ </h3>

All of 4x+8 is under a cube root sign.

=====================================================

Work Shown:

To find the inverse, we swap x and y, then solve for y.

$y = \frac{1}{4}x^3 - 2\\\\x = \frac{1}{4}y^3 - 2\\\\x+2 = \frac{1}{4}y^3\\\\4(x+2) = y^3\\\\4x+8 = y^3\\\\y^3 = 4x+8\\\\y = \sqrt[3]{4x+8}\\\\$

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Side note:

If $f(x) = \frac{1}{4}x^3 - 2$ and $g(x) = \sqrt[3]{4x+8}$ , then $f(g(x)) = x$ and $g(f(x)) = x$ for all x values in the domain. Effectively, you use function composition to confirm that we have the correct inverse equation.