Answer:
x = 5 , y = 2
Explanation:
Solve the following system:
{y = (7 x)/5 - 5 | (equation 1)
{y = (3 x)/5 - 1 | (equation 2)
Express the system in standard form:
{-(7 x)/5 + y = -5 | (equation 1)
{-(3 x)/5 + y = -1 | (equation 2)
Subtract 3/7 × (equation 1) from equation 2:
{-(7 x)/5 + y = -5 | (equation 1)
{0 x+(4 y)/7 = 8/7 | (equation 2)
Multiply equation 1 by 5:
{-(7 x) + 5 y = -25 | (equation 1)
{0 x+(4 y)/7 = 8/7 | (equation 2)
Multiply equation 2 by 7/4:
{-(7 x) + 5 y = -25 | (equation 1)
{0 x+y = 2 | (equation 2)
Subtract 5 × (equation 2) from equation 1:
{-(7 x)+0 y = -35 | (equation 1)
{0 x+y = 2 | (equation 2)
Divide equation 1 by -7:
{x+0 y = 5 | (equation 1)
{0 x+y = 2 | (equation 2)
Collect results:
Answer: {x = 5 , y = 2