Question

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

Answer 1

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Answer: x = -1 and y = 3

Step-by-step 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

$\frac{10x}{10} = \frac{5y-25}{10}$

$x = \frac{1}{2} y + \frac{-5}{2}$

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

Now we need to substitute $\frac{1}{2} y + \frac{-5}{2}$ for $x$

$10x + 8y = 14\\10(\frac{1}{2} y + \frac{-5}{2} + 8y = 14$

Now we need to simply both sides

$13y - 25 = 14$

Now we need to add 25 to both sides

$13y - 25 + 25 = 14 + 25 \\13y = 39 \\y = \frac{39}{13} \\y=3$

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:

$x = \frac{1}{2} y + \frac{-5}{2} \\x = \frac{1}{2} 3 + \frac{-5}{} \\x = -1$

Therefore,

The answer is x = -1 and y = 3

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