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4 years ago

Solve for x and y17) 2x - 3y = -1y = x-1

Mathematics

1 answer:

Cloud [144]4 years ago

4 0

Answer:

x = 4 , y = 3

Step-by-step explanation:

Solve the following system:

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

y = x - 1 | (equation 2)

Express the system in standard form:

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

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

Add 1/2 × (equation 1) to equation 2:

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

0 x - y/2 = (-3)/2 | (equation 2)

Multiply equation 2 by -2:

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

0 x+y = 3 | (equation 2)

Add 3 × (equation 2) to equation 1:

{2 x+0 y = 8 | (equation 1)

0 x+y = 3 | (equation 2)

Divide equation 1 by 2:

{x+0 y = 4 | (equation 1)

0 x+y = 3 | (equation 2)

Collect results:

Answer: {x = 4 , y = 3

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