Y=-5x+1 y=3x-2 is (3,8) a solution of the system

x = 3/8, y = - 7/8 or x = 0.375, y = - 0.975 decimal

Step-by-step 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