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abruzzese [7]
3 years ago
15

Classify the system of equations. 2x + y - 3 = 0 x + y - 1 = 0

Mathematics
1 answer:
natta225 [31]3 years ago
5 0
Solve the following system:
{-3 + 2 x + y = 0 | (equation 1)
{-1 + x + y = 0 | (equation 2)

Express the system in standard form:
{2 x + y = 3 | (equation 1)
{x + y = 1 | (equation 2)

Subtract 1/2 × (equation 1) from equation 2:
{2 x + y = 3 | (equation 1)
{0 x+y/2 = (-1)/2 | (equation 2)

Multiply equation 2 by 2:
{2 x + y = 3 | (equation 1)
{0 x+y = -1 | (equation 2)

Subtract equation 2 from equation 1:
{2 x+0 y = 4 | (equation 1)
{0 x+y = -1 | (equation 2)

Divide equation 1 by 2:
{x+0 y = 2 | (equation 1)
{0 x+y = -1 | (equation 2)

Collect results:
Answer: {x =2 , y = -1
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