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Daniela James
Mathematics
21 December, 05:03
Solving systems of equations using any method
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Joslyn Sawyer
21 December, 05:04
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x = 5, y = 2
Step-by-step explanation:
Solve the following system:
{y = (7 x) / 5 - 5 | (equation 1)
{y = (3 x) / 5 - 1 | (equation 2)
Express the system in standard form:
{ - (7 x) / 5 + y = - 5 | (equation 1)
{ - (3 x) / 5 + y = - 1 | (equation 2)
Subtract 3/7 * (equation 1) from equation 2:
{ - (7 x) / 5 + y = - 5 | (equation 1)
{0 x + (4 y) / 7 = 8/7 | (equation 2)
Multiply equation 1 by 5:
{ - (7 x) + 5 y = - 25 | (equation 1)
{0 x + (4 y) / 7 = 8/7 | (equation 2)
Multiply equation 2 by 7/4:
{ - (7 x) + 5 y = - 25 | (equation 1)
{0 x+y = 2 | (equation 2)
Subtract 5 * (equation 2) from equation 1:
{ - (7 x) + 0 y = - 35 | (equation 1)
{0 x+y = 2 | (equation 2)
Divide equation 1 by - 7:
{x+0 y = 5 | (equation 1)
{0 x+y = 2 | (equation 2)
Collect results:
Answer: {x = 5, y = 2
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