How to Solve a System of Equations Using Elimination with Fractions

The video tutorial explains how to solve a system of equations using the elimination method. It begins by introducing the concept and discussing why elimination is used when coefficients are not equal to one. The instructor then demonstrates how to eliminate fractions by finding a common multiple and multiplying through the equations. The process of adding or subtracting equations to eliminate variables is shown, and the solution is found by substituting back into the equations. The tutorial emphasizes the preference for adding negative numbers over subtracting to simplify the process for students.

What is the main challenge when initially trying to use elimination on the given system of equations?

• The coefficients are already zero.

• The coefficients are not integers.

• The coefficients do not easily eliminate any variable.

• The equations are not linear.

Why is it necessary to eliminate fractions in the system of equations?

• To simplify the process of elimination.

• To make the equations more complex.

• To change the solution of the system.

• To increase the number of variables.

What is the smallest number that both 2 and 3 are divisible by, used to eliminate fractions?

• 3

• 5

• 6

• 12

After eliminating fractions, what operation is preferred to solve the equations?

• Subtracting the equations

• Multiplying the equations

• Dividing the equations

• Adding the equations

What is the value of y after solving the simplified equations?

• 7

• 4

• 5

• 6