Solve the following system:
{5 y = 3 x+5 | (equation 1)
y = -7-x | (equation 2)
Express the system in standard form:
{-(3 x)+5 y = 5 | (equation 1)
x+y = -7 | (equation 2)
Add 1/3 × (equation 1) to equation 2:
{-(3 x)+5 y = 5 | (equation 1)
0 x+(8 y)/3 = (-16)/3 | (equation 2)
Multiply equation 2 by 3/8:
{-(3 x)+5 y = 5 | (equation 1)
0 x+y = -2 | (equation 2)
Subtract 5 × (equation 2) from equation 1:
{-(3 x)+0 y = 15 | (equation 1)
0 x+y = -2 | (equation 2)
Divide equation 1 by -3:
{x+0 y = -5 | (equation 1)
0 x+y = -2 | (equation 2)
Collect results:
Answer: |
| {x = -5
y = -2
