Presentation on theme: "Solving Equations with variables on both sides- YES!"— Presentation transcript:
1 Solving Equations with variables on both sides- YES! Chapter 2 Section 4Solving Equations with variables on both sides- YES!
2 Remember our goal…When we solve equations we want to isolate the variable to discover its value.We want to find out how much the variable equals.Solution of the Equation: the value of the variable that makes the equation true
3 Also, remember our properties of equality… AdditionWhat you add to one side, you must also…?MultiplicationIf you multiply one side of the equation by a number, you must…?
4 So what looks different with this one? Work backwards- the opposite direction of the order of operations.What’s the additive inverse of -21? 21Additive identity!Now, we should multiply both sides by which number? In other words: what is the multiplicative inverse of 2?Now check your work and see if it checks out!!!
6 Two new types of solutions IdentityWhen the equation is always truex=x; or 5=5; or 7=6+1No SolutionWhen the equation is never true for any value2 = 3; or -1 = 1
7 What identity looks like… Distribute!Try to get your variables on the same side.Use your additive inverse as you work backwards.0 is the additive identity, so we have 10 on both sides.They’re the same no matter what, hence identity!
8 What no solution looks like… Combine like terms!Try to get your variables on the same side.Use your additive inverse of 6m, -6m.0 is the additive identity!These can never be equal, hence no solution!