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Barton
Mathematics
28 January, 13:30
Solve the system of equations - 10x+3y=5 x=y-4
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Shelby Abbott
28 January, 13:36
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{x = 1, y = 5
Step-by-step explanation:
Solve the following system:
{3 y - 10 x = 5 | (equation 1)
{x = y - 4 | (equation 2)
Express the system in standard form:
{ - (10 x) + 3 y = 5 | (equation 1)
{x - y = - 4 | (equation 2)
Add 1/10 * (equation 1) to equation 2:
{ - (10 x) + 3 y = 5 | (equation 1)
{0 x - (7 y) / 10 = (-7) / 2 | (equation 2)
Multiply equation 2 by - 10/7:
{ - (10 x) + 3 y = 5 | (equation 1)
{0 x+y = 5 | (equation 2)
Subtract 3 * (equation 2) from equation 1:
{ - (10 x) + 0 y = - 10 | (equation 1)
{0 x+y = 5 | (equation 2)
Divide equation 1 by - 10:
{x+0 y = 1 | (equation 1)
{0 x+y = 5 | (equation 2)
Collect results:
Answer: {x = 1, y = 5
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