Q:

What is x-2y=-1 and 2x+y=4 using elimination step by step

Accepted Solution

A:
Answer:x = 7/5 Β , y = 6/5Step-by-step explanation using elimination:Solve the following system: {x - 2 y = -1 | (equation 1) 2 x + y = 4 | (equation 2) Swap equation 1 with equation 2: {2 x + y = 4 | (equation 1) x - 2 y = -1 | (equation 2) Subtract 1/2 Γ— (equation 1) from equation 2: {2 x + y = 4 | (equation 1) 0 x - (5 y)/2 = -3 | (equation 2) Multiply equation 2 by -2: {2 x + y = 4 | (equation 1) 0 x+5 y = 6 | (equation 2) Divide equation 2 by 5: {2 x + y = 4 | (equation 1) 0 x+y = 6/5 | (equation 2) Subtract equation 2 from equation 1: {2 x+0 y = 14/5 | (equation 1) 0 x+y = 6/5 | (equation 2) Divide equation 1 by 2: {x+0 y = 7/5 | (equation 1) 0 x+y = 6/5 | (equation 2) Collect results: Answer: {x = 7/5 Β , y = 6/5