How do you solve the following system: $6 x + y = 2, 2 x + 3 y = 34$ $6x + y = 2, 2x + 3y = 34$ ?

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How do you solve the following system: $6 x + y = 2, 2 x + 3 y = 34$ $6x + y = 2, 2x + 3y = 34$ ?

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Answer 1 · 2018-03-25T00:08:18

$x = - \frac{7}{4}$ $x=-7/4$
$y = \frac{25}{2}$ $y= 25/2$

Explanation:

Solve using substitution:
$6 x + y = 2$ $6x+y=2$
$2 x + 3 y = 34$ $2x+3y= 34$

The first equation when solved for $y$ $y$ :
$y = - 6 x + 2$ $y=-6x+2$

Substitute for $y$ $y$ into the second equation:
$2 x + 3 (- 6 x + 2) = 34$ $2x+3(-6x+2)= 34$

Distribute:
$2 x - 18 x + 6 = 34$ $2x-18x+6= 34$

Combine like terms:
$- 16 x + 6 = 34$ $-16x+6= 34$

Solve for x:
$- 16 x = 28$ $-16x=28$
$x = \frac{28}{- 16}$ $x=28/-16$
$x = - \frac{7}{4}$ $x=-7/4$

Solve for y by plugging in for $x$ $x$ :
$y = - 6 (- \frac{7}{4}) + 2$ $y=-6(-7/4)+2$
$y = \frac{42}{4} + 2$ $y= 42/4+2$
$y = \frac{21}{2} + \frac{4}{2}$ $y= 21/2+4/2$
$y = \frac{25}{2}$ $y= 25/2$

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How do you solve the following system: $6 x + y = 2, 2 x + 3 y = 34$ $6x + y = 2, 2x + 3y = 34$ ?

1 Answer

Explanation:

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Science

Math

Humanities

... and beyond

How do you solve the following system: 6x + y = 2, 2x + 3y = 346x+y=2,2x+3y=346x + y = 2, 2x + 3y = 34?

1 Answer

Explanation:

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How do you solve the following system: $6 x + y = 2, 2 x + 3 y = 34$ $6x + y = 2, 2x + 3y = 34$ ?