Q:

Find the solution of this system of equations. Separate the x- and the y- values with a comma. X=6+y -8x+9y=-29

Accepted Solution

A:
Answer:x= 25, y = 19Step-by-step explanation:Solve the following system: {x = y + 6 | (equation 1) 9 y - 8 x = -29 | (equation 2) Express the system in standard form: {x - y = 6 | (equation 1) -(8 x) + 9 y = -29 | (equation 2) Swap equation 1 with equation 2: {-(8 x) + 9 y = -29 | (equation 1) x - y = 6 | (equation 2) Add 1/8 Γ— (equation 1) to equation 2: {-(8 x) + 9 y = -29 | (equation 1) 0 x+y/8 = 19/8 | (equation 2) Multiply equation 2 by 8: {-(8 x) + 9 y = -29 | (equation 1) 0 x+y = 19 | (equation 2) Subtract 9 Γ— (equation 2) from equation 1: {-(8 x)+0 y = -200 | (equation 1) 0 x+y = 19 | (equation 2) Divide equation 1 by -8: {x+0 y = 25 | (equation 1) 0 x+y = 19 | (equation 2) Collect results: Answer: Β {x = 25 , y = 19