MATH SOLVE

4 months ago

Q:
# -5x+6y=33-18x+4y=-22

Accepted Solution

A:

Answer:The correct answer is x = 3 and y = 8Step-by-step explanation:1. First equation- 5x + 6y = 33-5x = 33 - 6y - x = 33/5 - 6y/5 (Dividing by 5 at both sides of the equation)x = - 33/5 + 6y/5 (Multiplying by - 1 at both sides of the equation)2. Second equation- 18x + 4y = -22- 18 (-33/5 + 6y/5) + 4y = - 22 (Replacing x by the result of the 1st equation) 594/5 - 108y/5 + 4y = - 22594 - 108y + 20y = -110 (Multiplying by 5 at both sides of the equation)-88y = -110 - 594-88y = -704-y = - 8 (Dividing by 88 at both sides of the equation)y = 8 (Multiplying by - 1 at both sides of the equation)3. Replacing y in the first equation for finding xx = - 33/5 + 6(8)/5x = - 33/5 + 48/5x = 15/5x = 34. Proof of x =3 and y = 8-5x + 6y = 33-5 (3) + 6 (8) = 33-15 + 48 = 3333 = 33It's proved that x = 3 and y= 8 are correct