2x + 2y = 14 eqn 1
2x - y = 5 eqn 2
Solve for X and Y.
Simplify eqn 2 to solve for y
2x - y = 5
subtract sx from both sides
-y = 5 - 2x
multiple both sides by -1
y = 2x - 5
substitute 2x - 5 into eqn 1 for y
2x + 2y = 14
2x + 2(2x -5) = 14
2x + 4x - 10 = 14
6x - 10 = 14
add 10 to both sides
6x = 24
divide both sides by 10
x= 4
Substitute x = 4 into eqn 2
y = 2(4) - 5
y = 8 - 5
y = 3
X = 4 and y = 3
If: 3x+2y = 5x+2y = 14 Then: 3x+2y = 14 and 5x+2y =14 Subtract the 1st equation from the 2nd equation: 2x = 0 Therefore by substitution the solutions are: x = 0 and y = 7
-2x=2y+5 +2x -2y -2y=2x+5 /-2 y=-1/1+2.5
2y = 4x + 4y = 2x + 2
-2x + 2y = 4 is equivalent to twice -2 + y = 2 which is the equation of a straight line.
5x-2y+3z-2x-y-4z=3x-3y-z
k
(2, 1)
The slope of the line of 2x plus 2y equals 7 is (7/2x - 1).
All that can be deduced is that x + y = 14.
2x + 5y = 16 -2x - 3y = -14 2y = 2 y = 1 / x = 5.5 (5.5,1) or (5 1/2,1)
If: 3x+2y = 5x+2y = 14 Then: 3x+2y = 14 and 5x+2y =14 Subtract the 1st equation from the 2nd equation: 2x = 0 Therefore by substitution the solutions are: x = 0 and y = 7
-2x=2y+5 +2x -2y -2y=2x+5 /-2 y=-1/1+2.5
X + ( 2Y - 2X - Y ) is equal to Y - X
The result of the equation x + 2y - 2x - y equals x simplifies to y - x.
2y = 4x + 4y = 2x + 2
2y = -10y = -58 - 2x - 2(-5) = -108 - 2x + 10 = -10-2x = -10 - 182x = 28x = 14Check:2y = 8 - 2x - 2y = -102(-5) = 8 - 2(14) - 2(-5) = -10-10 = 8 - 28 + 10 = -10-10 = -20 + 10 = -10-10 = -10 = -10
Sum Numb!