Answer:
x = 11/3
, y = -17/3
Step-by-step explanation:
Solve the following system:
{5 x - 7 y = 58 | (equation 1)
y = -x - 2 | (equation 2)
Express the system in standard form:
{5 x - 7 y = 58 | (equation 1)
x + y = -2 | (equation 2)
Subtract 1/5 × (equation 1) from equation 2:
{5 x - 7 y = 58 | (equation 1)
0 x+(12 y)/5 = (-68)/5 | (equation 2)
Multiply equation 2 by 5/4:
{5 x - 7 y = 58 | (equation 1)
0 x+3 y = -17 | (equation 2)
Divide equation 2 by 3:
{5 x - 7 y = 58 | (equation 1)
0 x+y = (-17)/3 | (equation 2)
Add 7 × (equation 2) to equation 1:
{5 x+0 y = 55/3 | (equation 1)
0 x+y = -17/3 | (equation 2)
Divide equation 1 by 5:
{x+0 y = 11/3 | (equation 1)
0 x+y = -17/3 | (equation 2)
Collect results:
Answer: {x = 11/3
, y = -17/3
