Learning Goal
Part of: Analyze and solve pairs of simultaneous linear equations — 2 of 3 container items
Solve systems of two linear equations in two variables algebraically
**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: 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.
What you'll learn
- Solve a system of two linear equations using the substitution method by isolating one variable in one equation and substituting the resulting expression into the other equation
- Solve a system of two linear equations using the elimination method by adding or subtracting equations (with multiplication if needed) to eliminate one variable
- Determine by inspection whether a system of two linear equations has no solution or infinitely many solutions by comparing the structure of the equations
- Estimate the solution of a system by graphing both equations and identifying the approximate point of intersection
- Verify a solution to a system by substituting the values of both variables into both original equations and confirming that both equations are satisfied
Slides
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Slides
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