Find an ordered pair (x, y) that solves the system:
\(\begin{align*} 2x - 3y &= -3.2 - 0.2x + 0.1y,\\ x &= 0.6x - y + 8.8 \end{align*}\)
+128408 2x - 3y = -3.2 - 0.2x + 0.1y
x = 0.6x - y + 8.8
Multiply both equations through by 10 to get rid of the decimals
20x - 30y = -32 - 2x + y
10x = 6x - 10y + 88
Rearrange the equations as
22x - 31y = -32
4x + 10y = 88
Multiply the first equation by -4 and the second by 22
-88x + 124y = 128
88x + 220y = 1936 add these equations
344y = 2064 divide both sides by 344
y = 6
And using 4x + 10y = 88 we can find x as
4x + 10 (6) = 88
4x + 60 = 88 subtract 60 from both sides
4x = 28 divide both sides by 4
x = 7
So (x, y) = ( 7, 6)
