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Abbigail Parsons
13 September, 19:01
3x+2y=12+y 4y-7x=10 solve
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William Velasquez
13 September, 21:47
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x=2 y=6
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Thomas Eaton
13 September, 22:54
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x = 2, y = 6
Step-by-step explanation:
Solve the following system:
{3 x + 2 y = y + 12 | (equation 1)
4 y - 7 x = 10 | (equation 2)
Express the system in standard form:
{3 x + y = 12 | (equation 1)
- (7 x) + 4 y = 10 | (equation 2)
Swap equation 1 with equation 2:
{ - (7 x) + 4 y = 10 | (equation 1)
3 x + y = 12 | (equation 2)
Add 3/7 * (equation 1) to equation 2:
{ - (7 x) + 4 y = 10 | (equation 1)
0 x + (19 y) / 7 = 114/7 | (equation 2)
Multiply equation 2 by 7/19:
{ - (7 x) + 4 y = 10 | (equation 1)
0 x+y = 6 | (equation 2)
Subtract 4 * (equation 2) from equation 1:
{ - (7 x) + 0 y = - 14 | (equation 1)
0 x+y = 6 | (equation 2)
Divide equation 1 by - 7:
{x+0 y = 2 | (equation 1)
0 x+y = 6 | (equation 2)
Collect results:
Answer:{x = 2, y = 6
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