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2 years ago

15

7x+2y=24 and 8x+2y=30

1 answer:

raketka [301]2 years ago

8 0

I guess you want to find the values of x & y. If so:

7x+2y=24
8x+2y=30
1) multiply the 1st equation by (-1)==> -7x-2y=-24
2) Now add -7x-2y=-24 to 8x+2y=30 ==> x + 0y = 6 ==> x = 6
3) replace x by 6 in any of te two equation & you will find y= - 9

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Answer

y = (1/4)x - 5 or 4y - x + 20 = 0

Explanation

To get the rule required, we interpret the sentence and write it in a mathematical form.

5 less than one fourth of x is y

one fourth of x ⇒ (1/4)x

5 less than one fourth of x is y ⇒ (1/4)x - 5 = y

y = (1/4)x - 5

4y = x - 20

4y - x + 20 = 0

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5x+20y=4<br> x=-4y+1<br><br> Solve for x/y

Andrews [41]

Hi there!

Looks like a lot of work is going on here.

Let's start by solving this equation for the x.

$5x + 20y = 4$

Step 1) Add -20y to both sides.

$5x + 20y + - 20y = 4 - 20y 5x = -20y + 4$

Step 2) Divide both sides by 5.

$\frac{5x}{5} = \frac{-20y + 4}{5}$

$x = -4y + \frac{4}{5}$

Final Answer:

$x = -4y + \frac{4}{5}$

Now, let's solve for y.

Step 1) Add -5x to both sides.

$5x + 20y + - 5x = 4 + - 5x 20y = -5x + 4$

Step 2) Divide both sides by 20.

$\frac{20y}{20} = \frac{-5x + 4}{20}$

$y = \frac{-1}{4} x + \frac{1}{5}$

Final Answer:

$y = \frac{-1}{4} x + \frac{1}{5}$

Hope this helps! :D

Hint - When you have two variables in an equation, and you want to solve for one, the other will end up in your answer. :)

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