Answer:
x = 3/8 , y = -7/8 or x = 0.375, y = -0.975 decimal
Explanation:
Solve the following system:
{y = 1 - 5 x | (equation 1)
y = 3 x - 2 | (equation 2)
Express the system in standard form:
{5 x + y = 1 | (equation 1)
-(3 x) + y = -2 | (equation 2)
Add 3/5 × (equation 1) to equation 2:
{5 x + y = 1 | (equation 1)
0 x+(8 y)/5 = -7/5 | (equation 2)
Multiply equation 2 by 5:
{5 x + y = 1 | (equation 1)
0 x+8 y = -7 | (equation 2)
Divide equation 2 by 8:
{5 x + y = 1 | (equation 1)
0 x+y = -7/8 | (equation 2)
Subtract equation 2 from equation 1:
{5 x+0 y = 15/8 | (equation 1)
0 x+y = -7/8 | (equation 2)
Divide equation 1 by 5:
{x+0 y = 3/8 | (equation 1)
0 x+y = -7/8 | (equation 2)
Collect results:
Answer: {x = 3/8 , y = -7/8