Answer:
x = 15/17 , y = 11/17
Explanation:
Solve the following system:
{y = 1 - (2 x)/5 | (equation 1)
{y = 3 x - 2 | (equation 2)
Express the system in standard form:
{(2 x)/5 + y = 1 | (equation 1)
{-(3 x) + y = -2 | (equation 2)
Swap equation 1 with equation 2:
{-(3 x) + y = -2 | (equation 1)
{(2 x)/5 + y = 1 | (equation 2)
Add 2/15 × (equation 1) to equation 2:
{-(3 x) + y = -2 | (equation 1)
{0 x+(17 y)/15 = 11/15 | (equation 2)
Multiply equation 2 by 15:
{-(3 x) + y = -2 | (equation 1)
{0 x+17 y = 11 | (equation 2)
Divide equation 2 by 17:
{-(3 x) + y = -2 | (equation 1)
{0 x+y = 11/17 | (equation 2)
Subtract equation 2 from equation 1:
{-(3 x)+0 y = -45/17 | (equation 1)
{0 x+y = 11/17 | (equation 2)
Divide equation 1 by -3:
{x+0 y = 15/17 | (equation 1)
v0 x+y = 11/17 | (equation 2)
Collect results:
Answer: {x = 15/17 , y = 11/17