Question

10x - 5y = -25
l0x+8y=14

Answer 1

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Answer: x = -1 and y = 3

Explanation:

`10x - 5y = -25 \\10x + 8y = 14`

Let's start by solving
`10x - 5y = -25` for
`x`

`10x - 5y=-25`

Add 5y to both sides

`10x - 5y + 5y = -25+5y \\10x = 5y - 25`

Now we need to divide both sides by 10

`(10x)/(10) = (5y-25)/(10)`

`x = (1)/(2) y + (-5)/(2)`

That's not the answer for x. We are not done yet :)

Now we need to substitute
`(1)/(2) y + (-5)/(2)` for
`x`

`10x + 8y = 14\\10((1)/(2) y + (-5)/(2) + 8y = 14`

Now we need to simply both sides

`13y - 25 = 14`

Now we need to add 25 to both sides

`13y - 25 + 25 = 14 + 25 \\13y = 39 \\y = (39)/(13) \\y=3`

We have the valuee for y! Now we need to find the value for x

To find the value of x, we need to substitute 3 for y in:

`x = (1)/(2) y + (-5)/(2) \\x = (1)/(2) 3 + \frac{-5}{} \\x = -1`

Therefore,

The answer is x = -1 and y = 3

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