2 4 Solve Equations With Variables on Both

2. 4 Solve Equations With Variables on Both Sides bkevil

https: //www. youtube. com/watch? v=f. DMx. O i. S 5 g 7 k bkevil

USE STEPS TO SOLVE EQUATION: -3 x + 4 = 5 x – 8 Get variables on same side of equation – use inverse operation Solve 2 step equation x = 1. 5 bkevil

USE STEPS TO SOLVE EQUATION: 14 x + 5= 8 x – 31 Get variables on same side of equation – use inverse operation Solve 2 step equation x= bkevil

USE STEPS TO SOLVE EQUATION: 2 x + 5= 9 x – 30 Get variables on same side of equation – use inverse operation Solve 2 step equation x= bkevil

USE STEPS TO SOLVE EQUATION: -2 x - 10= x – 50 Get variables on same side of equation – use inverse operation Solve 2 step equation x= bkevil

USE STEPS TO SOLVE EQUATION: -3 x + 4 = 5 x – 8 -5 x -8 x + 4 = - 8 -4 -4 -8 x = -12 -8 -8 x = 1. 5 Get variables on same side of equation – use inverse operation (subtract 5 x) Solve 2 step equation Undo by using inverse -8 undo 2 nd +4 -4 undo 1 st bkevil

STEPS TO SOLVE EQUATIONS WITH VARIABLES ON BOTH SIDES v 1) Get rid of ( ) on both sides of equation. v 2) Combine like terms on both sides. v 3) Get variable on one side of the equation v 4) Solve 2 step equation by undoing what has been done to the variable. bkevil

USE STEPS TO SOLVE EQUATION: 2(X + 7) + 3 = 5 X - 1 2 x + 14 + 3 = 5 x – 1 2 x + 17 = 5 x - 1 -5 x -3 x + 17 = - 17 -3 x = -18 -3 -3 x= 6 1) Get rid of ( ) --distribute 2) Combine like terms 3) Get variables on same side – use inverse operation 4) Solve 2 step equation Undo by using inverse -3 undo 2 nd + 17 - 17 undo 1 st bkevil

USE STEPS TO SOLVE EQUATION: 2(X + 7) + 3 = 5 X - 1 2 x + 14 + 3 = 5 x – 1 2 x + 17 = 5 x - 1 -5 x -3 x + 17 = - 17 -3 x = -18 -3 -3 x= 6 1) Get rid of ( ) --distribute 2) Combine like terms 3) Get variables on same side – use inverse operation 4) Solve 2 step equation Undo by using inverse -3 undo 2 nd + 17 - 17 undo 1 st bkevil

CHECK - REPLACE “X” WITH SOLUTION 2(X + 7) + 3 = 5 X - 1 2(6 + 7) + 3 =5(6) - 1 2(13) + 3 =5(6) - 1 26 + 3 = 30 - 1 29 = 29 X=6 1) Replace X = 6 2) Follow order of operations on both sides of equation 3) Checks is the solution to the equation bkevil

USE STEPS TO SOLVE EQUATION: 4(1 – 2 X) = 4 – 6 X 4 – 8 x = 4 - 6 x + 6 x 4 - 2 x = 4 -4 -4 -2 x = 0 -2 -2 x= 0 Get rid of ( ) -- distribute Get variables on same side – use inverse operation (add 6 x) Solve 2 step equation Undo by using inverse -2 undo 2 nd +4 -4 undo 1 st bkevil

USE STEPS TO SOLVE EQUATION: 9 + 5 x = 5 x + 9 -5 x 9=9 x = any real number Get variables on same side of equation – use inverse operation (subtract 5 x) The variables zeroed out and remaining is a true statement where a number is equal to itself – this is called an identity The solution is all real numbers bkevil

USE STEPS TO SOLVE EQUATION: 6 x – 1 = 6 x – 8 -6 x Get variables on same side of equation – use inverse operation (subtract 6 x) -1 = - 8 The variables zeroed out and remaining is a false statement where a number is equal to a different number, so there will be no number that will work in the equation. x = no solutions The solution is no real numbers or empty set bkevil

REVIEW STEPS TO SOLVE EQUATIONS WITH VARIABLES ON BOTH SIDES v 1) Get rid of ( ) on both sides of equation. v 2) Combine like terms on both sides. v 3) Get variable on one side of the equation. v 4) Solve 2 step equation by undoing what has been done to the variable. v 5) Remember 2 special cases when the variable zeros out. bkevil

The end bkevil