# 8.EE.C.8.B Lesson Plans

Solve systems of two linear equations in two variables algebraically, and estimate solutions by graphing the equations. Solve simple cases by inspection. For example, 3x + 2y = 5 and 3x + 2y = 6 have no solution because 3x + 2y cannot simultaneously be 5 and 6.

## Coherence Map of 8.EE.C.8.B

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#### Standard Description of 8.EE.C.8.B

Solve systems of two linear equations in two variables algebraically, and estimate solutions by graphing the equations. Solve simple cases by inspection. For example, 3x + 2y = 5 and 3x + 2y = 6 have no solution because 3x + 2y cannot simultaneously be 5 and 6.

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8.EE.C.8.B

## TOPICS RELATED TO SOLVING SYSTEMS OF EQUATIONS

### What methods can be used to solve a system of equations?

there are three methods to resolve systems of linear equations in two variables: Graphing. Substitution method. Elimination approach.

### How do you solve systems of equations by substitution?

The method of solving "by means of substitution" works by solving one of the equations (you select which one) for one of the variables (you choose which one), after which plugging this lower back into the alternative equation, "substituting" for the chosen variable and solving for the opposite. then you lower back-resolve for the first variable.

### How do you solve systems of equations algebraically?

step 1: add the 2 equations. Step 2: clear up for x. Step 3: to locate the y-fee, substitute in 3 for x in one of the equations. Step 4: remedy for y. Step 5: perceive the answer as an ordered pair. What if adding or subtracting does now not remove a variable? example. 3x – y = eight. x + 2y = 5. 