# what is the solution to the system of equation? -7x+4y=6 -7x-y=-19

what is the solution to the system of equation? -7x+4y=6 -7x-y=-19

## here is your answer(solution with graph)

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-7x+4y=6....(i)

-7x-y=-19 ..(ii)

xxxxxxxxxxx xxx xxxxxxxx xxxxx xxxx equation ..(ii) we xxxx

xxxxxxxxxxxxxxxxxxxx

x>xxxxxxxxxxxxxxx

x>-5y=-25

x>xxxxx

x>xxxxxx

=>y=5

putting xxx xx xxx equation ...(ii) xx get,

-7x-5=-19

x>-7x=-19+5

=>xxxxxxx

x>xxxxx

=>x=14/7

=>x=2

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## Step-by-Step Solution. (Including an attached plot.)

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Let xx xxxxxxxxx y first:

-7 x x 4 x x 6

xx x - x x - xx multiply xxxx xxxxxxxx with (-1)

xxxxxxxxxxxxxxxxxx

xx x x 4 y = x

7 x x y = 19 add xxxx equations

xxxxxxxxxxxxxxxxxx

x x x x x x 25 xxxxxx xxxx xxxxx of xxx equation xx x

x x 25/5 = 5

xxxx for x we xxxx at xxxx xxx xxxxxx xxxxxxxx xxx solve xx for x:

xx x - y = x xx xxx y on xxxx xxxxx of xxx equation

==================

xx x = x 19 + x xxxxxx xxxx sides xx the equation by -7

x = (- xx + y)/(-7) = (19 x xxxx

Remember y=5:

x = (19 x xxxx x (19 - xxxx = xxxx x 2

Therefore xxxx solution xxx

x = xx x x 5.

Look at xxx xxxxxxx xxxxxxxxx At x = x xxx x x 5 xxxx xxxxx xxxxxxxxxx

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## Complete answer with step-by-step instructions

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xxx xxxxxxxx are:

xx * x + x * y = 6

-7 * x - y = xxx

We xxxxxxxx xxx xxxxxx xxxxxxxx from the xxxxx xxx xxx xx have:

xx * x - xxxx * x x x x y x (-y) = x x (-19) =>

-7 x x x 7 x x + x x y + x x x x xx x>

.

We xxxxxx xxx the xxxxxx xxxxxx x xxxx the first two terms and xxx common factor x xxxx xxx third and forth terms:

x * xxx x xx x y * (4 x xx = 25 x>

x * x x y * 5 x xx x>

0 x y x 5 x xx x>

x * 5 x xx

x

xx divide xxxx xxxxx of the equation by 5 and we have:

y * 5/5 = 25/5 x>

x x 1 x 5 x>

x = 5

.

xx replace x xx the xxxxx equation xxxx xxx value xx xxxx found:

xx * x + 4 x 5 x x x>

-7 x x x 20 = 6

.

We subtract 20 xxxx xxxx xxxxxx

-7 * x x 20 - 20 x 6 x 20 =>

xx * x x 0 = - xx =>

-7 * x x - xx

.

We divide both sides xx xxx equation xx xxxx and xx have:

(-7) x xxxxxx x xxxxxxxxxx x>

x * 1 x x x>

x x x

x

.

xxx solution is:

x = x

x = x

If xxx xxxx xxx questions regarding my xxxxxxxx xxxxxx send xx a message xxx x will reply xx xxxx as xxxxxxxxx

xxxx x xxxx day!

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