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3 years ago

What is -3x+3y=6 3x+5y=-46

Mathematics

1 answer:

Mademuasel [1]3 years ago

5 0

Answer:

x = -7 , y = -5

Step-by-step explanation:

Solve the following system:

{3 y - 3 x = 6 | (equation 1)

3 x + 5 y = -46 | (equation 2)

Add equation 1 to equation 2:

{-(3 x) + 3 y = 6 | (equation 1)

0 x+8 y = -40 | (equation 2)

Divide equation 1 by 3:

{-x + y = 2 | (equation 1)

0 x+8 y = -40 | (equation 2)

Divide equation 2 by 8:

{-x + y = 2 | (equation 1)

0 x+y = -5 | (equation 2)

Subtract equation 2 from equation 1:

{-x+0 y = 7 | (equation 1)

0 x+y = -5 | (equation 2)

Multiply equation 1 by -1:

{x+0 y = -7 | (equation 1)

0 x+y = -5 | (equation 2)

Collect results:

Answer: {x = -7 , y = -5

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