How do we solve a system of linear equations using elimination 3x+y=8, 5x+2y=5

The video tutorial introduces the elimination method for solving systems of equations. It begins by comparing the substitution and elimination methods, highlighting the importance of isolating variables. The elimination method involves adding or subtracting equations to eliminate one variable, sometimes requiring multiplication by a constant. An example is provided to demonstrate the process, showing how to solve for one variable and substitute back to find the other. The tutorial concludes with a promise of further examples to solidify understanding.

What is the primary goal when using the substitution method to solve a system of equations?

• To isolate one variable and substitute it into another equation

• To add the equations together

• To multiply the equations by a constant

• To eliminate all variables

In the elimination method, what is the purpose of adding or subtracting two equations?

• To eliminate one of the variables

• To create a new equation with more variables

• To make the equations identical

• To find the sum of the solutions

Why might you need to multiply an equation by a multiplier in the elimination method?

• To change the variable names

• To simplify the equations

• To make the coefficients of one variable the same in both equations

• To increase the number of solutions

What is the result of successfully applying the elimination method to a system of equations?

• An equation with two variables

• An equation with no variables

• An equation with one variable

• An equation with three variables

After finding the value of one variable using the elimination method, what is the next step?

• Ignore the other variable

• Substitute the found value into one of the original equations

• Add the equations together

• Multiply the equations again