What is the solution to the following system?: $-6x + 10y = 5, -2x + 3y = -1$

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What is the solution to the following system?: $-6x + 10y = 5, -2x + 3y = -1$

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Answer 1 · 2018-05-31T09:12:24

$x=25/2$

$y=8$

Explanation:

Make $x$ or $y$ the subject and then substitute that in one of the equation.

$-6x+10y=5$ -----> equation 1

$-2x+3y=-1$ ------> equation 2

Lets make $x$ the subject in equation 1:

$-6x+10y=5$

$-6x = 5-10y$

$x=-5/6+10/6y$ ------> substitute $x$ in equation 2

$-2x+3y=-1$ ------> equation 2

$-2(-5/6 + 10/6y) + 3y = -1$

$5/3-10/3y+3y=-1$

$3y-10/3y = -1-5/3$

$(9y-10y)/3 = (-3-5)/3$

$-1/3y = -8/3$

$y = -8/3 xx (-3)$

$y=8$

Substitute $y=8$ in equation 2 to get value of $y$ .

$-2x+3y=-1$ ------> equation 2
$-2x +3(8) = -1$

$-2x+24=-1$

$-2x = -1-24$

$-2x = -25$

$x=25/2$

Check the answer:

$-6x+10y=5$ -----> equation 1

$-6(25/2) + 10(8) = 5$ -75+80 = 5# ----> correct

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What is the solution to the following system?: $-6x + 10y = 5, -2x + 3y = -1$

1 Answer

Explanation:

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Impact of this question

Science

Math

Humanities

... and beyond

What is the solution to the following system?: -6x + 10y = 5, -2x + 3y = -1-6x + 10y = 5, -2x + 3y = -1

1 Answer

Explanation:

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Impact of this question

What is the solution to the following system?: $-6x + 10y = 5, -2x + 3y = -1$