What is the solution to this system: 2x+7y=15 And 7x+y=-18

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adelinemorgen adelinemorgen

08-02-2017
Mathematics

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What is the solution to this system: 2x+7y=15 And 7x+y=-18

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hesterbeau16 hesterbeau16 · Answer 1 · 2017-02-08T18:49:27+01:00

hesterbeau16 hesterbeau16

08-02-2017

FIRST EQUATION:
-5x + 2y = - 2
-5*(13/6) + 2*(53/12) = -2
-65/6 + 106/12 = -2
-130/12 + 106/12 = -2
-24/12 = -2
-2 = -2
Check!
.
SECOND EQUATION
-7x - 2y = -24
-7(13/6) - 2(53/12) = -24
-91/6 - 106/12 = -24
-182/12 - 106/12 = -24
-288/12 = -24
-24 = -24

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wolf1728 wolf1728 · Answer 2 · 2017-02-08T18:56:08+01:00

wolf1728 wolf1728

08-02-2017

A) 2x+7y=15
B) 7x+y=-18
Multiplying B by -7
B) -49x -7y = 126 then adding it to equation A
A) 2x + 7y = 15
-47x = 141
x = -3
B) 7*-3+y=-18
y = -18 +21 = 3

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