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Pete
Mathematics
17 May, 00:17
12x - 2y = - 1
+ 4x + 6y = - 4
+1
Answers (
1
)
Sarai Kirby
17 May, 00:41
0
x = - 7/40, y = - 11/20
Step-by-step explanation:
Solve the following system:
{12 x - 2 y = - 1 | (equation 1)
4 x + 6 y = - 4 | (equation 2)
Subtract 1/3 * (equation 1) from equation 2:
{12 x - 2 y = - 1 | (equation 1)
0 x + (20 y) / 3 = (-11) / 3 | (equation 2)
Multiply equation 2 by 3:
{12 x - 2 y = - 1 | (equation 1)
0 x+20 y = - 11 | (equation 2)
Divide equation 2 by 20:
{12 x - 2 y = - 1 | (equation 1)
0 x+y = (-11) / 20 | (equation 2)
Add 2 * (equation 2) to equation 1:
{12 x+0 y = (-21) / 10 | (equation 1)
0 x+y = - 11/20 | (equation 2)
Divide equation 1 by 12:
{x+0 y = (-7) / 40 | (equation 1)
0 x+y = - 11/20 | (equation 2)
Collect results:
Answer: {x = - 7/40, y = - 11/20
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