Find an ordered pair(x,y) that solves the system: 2x−3y=−3.2−0.2x+0.1y,x=0.6x−y+8.8
+37167 Gather like terms in the two equations to get :
2.2x - 3.1y = -3.2 (edited here due to error)
.4x+y = 8.8 Multily this equation by 3.1
1.24 +3.1 y = 27.28 and add this to the first equation to get
3.44x = 24.08 x= 7
Sub this in to one of the original equations to find y = 6
+9488 Simplify first equation:
2x - 3y = -3.2 - 0.2x + 0.1y
Add 0.2x to both sides of the equation.
2.2x - 3y = -3.2 + 0.1y
Add 3y to both sides.
2.2x = 3.1y - 3.2
Simplify second equation:
x = 0.6x - y + 8.8
Add y to both sides of the equation.
x + y = 0.6x + 8.8
Subtract x from both sides.
y = -0.4x + 8.8
Substitute -0.4x + 8.8 in for y in the first equation and solve for x .
2.2x = 3.1( -0.4x + 8.8 ) - 3.2
Distribute 3.1 to the terms in parenthesees.
2.2x = -1.24x + 27.28 - 3.2
Add 1.24x to both sides.
2.2x + 1.24x = 27.28 - 3.2
Combine like terms.
3.44x = 24.08
Divide both sides by 3.44
x = 7
Substitute 7 in for x in the second equation to find y .
y = -0.4( 7 ) + 8.8
y = 6
