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Elliott
Mathematics
30 July, 21:50
What is the elimination method for 3x-2y=7 x+y=-1
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Chace Maxwell
30 July, 21:52
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x = - 3/17, y = 4/17
Step-by-step explanation:
Solve the following system:
{3 x - 2 y = - 1 | (equation 1)
{7 x + y = - 1 | (equation 2)
Swap equation 1 with equation 2:
{7 x + y = - 1 | (equation 1)
{3 x - 2 y = - 1 | (equation 2)
Subtract 3/7 * (equation 1) from equation 2:
{7 x + y = - 1 | (equation 1)
{0 x - (17 y) / 7 = - 4/7 | (equation 2)
Multiply equation 2 by - 7:
{7 x + y = - 1 | (equation 1)
{0 x+17 y = 4 | (equation 2)
Divide equation 2 by 17:
{7 x + y = - 1 | (equation 1)
{0 x+y = 4/17 | (equation 2)
Subtract equation 2 from equation 1:
{7 x+0 y = - 21/17 | (equation 1)
{0 x+y = 4/17 | (equation 2)
Divide equation 1 by 7:
{x+0 y = - 3/17 | (equation 1)
{0 x+y = 4/17 | (equation 2)
Collect results:
Answer: {x = - 3/17, y = 4/17
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