What is the solution of the system of equations? {53x−2y=−2 {−x+y=2 Enter your answer in the boxes. ( , )

Question

asked Oct 1, 2020 188k views

2 Answers

Perocat · Answer 1 · 2020-10-03T08:10:59+0000

Answer:

x = 2/51 , y = 104/51

Explanation:

Solve the following system:

{53 x - 2 y = -2 | (equation 1)

y - x = 2 | (equation 2)

Add 1/53 × (equation 1) to equation 2:

{53 x - 2 y = -2 | (equation 1)

0 x+(51 y)/53 = 104/53 | (equation 2)

Multiply equation 2 by 53:

{53 x - 2 y = -2 | (equation 1)

0 x+51 y = 104 | (equation 2)

Divide equation 2 by 51:

{53 x - 2 y = -2 | (equation 1)

0 x+y = 104/51 | (equation 2)

Add 2 × (equation 2) to equation 1:

{53 x+0 y = 106/51 | (equation 1)

0 x+y = 104/51 | (equation 2)

Divide equation 1 by 53:

{x+0 y = 2/51 | (equation 1)

0 x+y = 104/51 | (equation 2)

Collect results:

Answer: x = 2/51 , y = 104/51