Solution: 2x + 6 = 2 2x = -4 x = -2 Check: LHS = 2*(-2) + 6 = -4 + 6 = 2 = RHS
3x + 4 = 5x - 6 -3x -3x 4 = 2x - 6 +6 +6 10 = 2x 5 = x
Yes and it works out that x = 3 and y = 4
2x-y = 4 and 2y = 4x-6 pick either equation and solve for one of the variables the first equation: y = -4 + 2x plug in the value of variable you solved for into the other equation 2(-4 + 2x) = 4x -6 then solve -8 + 2x = 4x-6 -2 = 2x x= -1 then plug in the value you have found into either original equation to find the value of the other variable 2(-1) - y = 4 -2 - y = 4 -y = 6 y = -6
3x+5=4-2x+6 5x=4-1 5x=3 x=3/5
2x - 4 = -10 2x = -10 +4 2x = -6 x = -3
-4
3x - 2 = 2x + 4 3x - 2x = 4 + 2 x = 6
6 - 3x = 4 - 2x 6 = x + 4 x = 2 Check it. 6 - 6 = 4 - 4 It checks.
Solution: 2x + 6 = 2 2x = -4 x = -2 Check: LHS = 2*(-2) + 6 = -4 + 6 = 2 = RHS
3x + 4 = 5x - 6 -3x -3x 4 = 2x - 6 +6 +6 10 = 2x 5 = x
4x=-10 x=-2.5
Yes and it works out that x = 3 and y = 4
2x-y = 4 and 2y = 4x-6 pick either equation and solve for one of the variables the first equation: y = -4 + 2x plug in the value of variable you solved for into the other equation 2(-4 + 2x) = 4x -6 then solve -8 + 2x = 4x-6 -2 = 2x x= -1 then plug in the value you have found into either original equation to find the value of the other variable 2(-1) - y = 4 -2 - y = 4 -y = 6 y = -6
3x+5=4-2x+6 5x=4-1 5x=3 x=3/5
4
This is already the equation. Now you just have to solve it. x=5.