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Marlie Giles
Mathematics
25 December, 14:40
Y=-5x - 26
5y = 3x - 18
+1
Answers (
1
)
Jacey Lutz
25 December, 15:08
0
x = - 4, y = - 6
Step-by-step explanation:
Solve the following system:
{y = - 5 x - 26 | (equation 1)
5 y = 3 x - 18 | (equation 2)
Express the system in standard form:
{5 x + y = - 26 | (equation 1)
- (3 x) + 5 y = - 18 | (equation 2)
Add 3/5 * (equation 1) to equation 2:
{5 x + y = - 26 | (equation 1)
0 x + (28 y) / 5 = (-168) / 5 | (equation 2)
Multiply equation 2 by 5/28:
{5 x + y = - 26 | (equation 1)
0 x+y = - 6 | (equation 2)
Subtract equation 2 from equation 1:
{5 x+0 y = - 20 | (equation 1)
0 x+y = - 6 | (equation 2)
Divide equation 1 by 5:
{x+0 y = - 4 | (equation 1)
0 x+y = - 6 | (equation 2)
Collect results:
Answer: {x = - 4, y = - 6
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