Problem: desperate for help, how to solve
how to solve using elimination method,no solutation or infinate?
4x-8y=48
11x+3y=105.5
To eliminate one of the variables, we need the co-efficients to have
the same absolute value, so we can either add the equations or subtract
the equations.
1) 4x - 8y = 48
2) 11x + 3y = 105.5
Let's eliminate the y term. Multiply equation 1 by 3, and multiply
equation 2 by 8.
3(4x - 8y) = 48 * 3
3) 12x - 24y = 144
8(11x + 3y) = 105.5 * 8
4) 88x + 24y = 844
Add equation 4 to equation 3.
12x - 24y = 144
+(88x + 24y = 844)
-------------------------
100x = 988
100x = 988
x = 9.88
Plug that into equation 1 to solve for y.
4x - 8y = 48
4(9.88) - 8y = 48
39.52 - 8y = 48
-8y = 8.48
y = -1.06
Plug both of those values into equation 2 to check them.
11x + 3y = 105.5
11(9.88) + 3(-1.06) = 105.5
108.68 - 3.18 = 105.5
105.5 = 105.5
Answer: x = 9.88, y = -1.06