What is the x-value in the solution to the system $- 6 x - 5 y = 10$ $-6x - 5y = 10$ & $3 x - 2 y = - 6$ $3x - 2y= -6$ ?

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What is the x-value in the solution to the system $- 6 x - 5 y = 10$ $-6x - 5y = 10$ & $3 x - 2 y = - 6$ $3x - 2y= -6$ ?

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Answer 1 · 2016-02-28T22:41:40

$x = - \frac{50}{27}$ $x=-50/27$

Explanation:

I'm going to use elimination to solve this set of equations.

$- 6 x - 5 y = 10$ $-6x-5y=10$
$\pm$ $+-$
$3 x - 2 y = - 6$ $3x-2y=-6$

I want to add or subtract the $y$ $y$ s so that I will be left with only $x$ $x$ as my variaable. To do that, I need to make the $y$ $y$ s equal, so I'm going to multiply the second equation by $2.5$ $2.5$ , becauase that will change $- 2 y$ $-2y$ into $- 5 y$ $-5y$ . Of course, I have to multiply everything by $2.5$ $2.5$ , so the second equation will now be $7.5 x - 5 y = - 15$ $7.5x-5y=-15$ .

Now we have
$color(white)(.....)-6xcancel(-5y)=10$
$-$
$color(white)(........)7.5xcancel(-5y)=-15$
$color(white)(.)$ _____________
$color(white)(.....)-13.5x=color(white)(......)25$

We are left with $-13.5x=25$ . Divide by $-13.5$ on both sides, and we have $x=25/-13.5$ , which we'll rewrite as $-50/27$ .

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What is the x-value in the solution to the system $- 6 x - 5 y = 10$ $-6x - 5y = 10$ & $3 x - 2 y = - 6$ $3x - 2y= -6$ ?

1 Answer

Explanation:

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What is the x-value in the solution to the system -6x - 5y = 10−6x−5y=10-6x - 5y = 10 & 3x - 2y= -63x−2y=−63x - 2y= -6?

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Explanation:

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What is the x-value in the solution to the system $- 6 x - 5 y = 10$ $-6x - 5y = 10$ & $3 x - 2 y = - 6$ $3x - 2y= -6$ ?