Solving Systems of Equations

The video tutorial explains how to solve a problem involving a college student who completed courses worth three and four credits, totaling 59 credits over 18 courses. The instructor sets up a system of linear equations to represent the problem, using variables X and Y for the three and four credit courses, respectively. The elimination method is used to solve the equations, resulting in the student having taken 13 three-credit courses and 5 four-credit courses. The tutorial concludes with a verification of the solution.

What is the total number of courses the student completed?

• 15

• 18

• 20

• 22

How many credits did the student earn in total?

• 55

• 50

• 59

• 60

What variable is used to represent the three credit courses?

• Y

• Z

• X

• W

Which equation represents the total number of courses?

• 3x + 4y = 59

• x + y = 18

• 4x + 3y = 59

• x - y = 18

What method is used to solve the system of equations?

• Elimination

• Matrix

• Graphing

• Substitution

What is the result of eliminating X from the equations?

• Y = 3

• Y = 6

• Y = 4

• Y = 5

How many four credit courses did the student complete?

• 3

• 4

• 5

• 6

After finding Y, what is the next step to find X?

• Divide Y by 3

• Add Y to 18

• Multiply Y by 3

• Subtract Y from 18

How many three credit courses did the student complete?

• 10

• 11

• 12

• 13

What alternative method could be used to solve for X first?

• Multiply by 5

• Multiply by -2

• Multiply by -4

• Multiply by 2