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zvonat [6]
3 years ago
6

Solve the system of equations. 2y+7x=−5 5y−7x=12 ​

Mathematics
1 answer:
3241004551 [841]3 years ago
4 0

We can solve this by substitution method.

Look at the second equation. If we rearrange to find 7x, we can substitute in the value into the first equation.

5y-7x=12

5y-7x-12=0

5y-12=7x

Therefore, 7x=5y-12

Now replace the 7x in the first equation with 5y - 12:

2y+7x=-5 (substitute in 7x = 5y - 12)

2y+(5y-12)=-5

7y-12=-5

7y=7

y=1

Now that we know y, we can find x by substituting in y = 1 into any equation we want. I will use the equation: 7x = 5y - 12

7x=5y-12 (substitute in y = 1)

7x=5(1) -12

5x=5-12

7x=-7

x=-1

__________________________________________________________

<u>Answer:</u>

<u></u>y=1\\x=-1<u></u>

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Length of Side 1 = $  \sqrt{\textbf{53}} $ units.

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