Solving Equations with Substitution

The video tutorial explains how to solve a system of equations using the substitution method. The instructor, Jacob, guides viewers through the process of making one variable the subject of the formula in the first equation, substituting it into the second equation, and solving for the variables X and Y. The tutorial emphasizes the importance of following the order of operations and grouping like terms to find the correct solutions. The final values for X and Y are calculated as 14/9 and 8/9, respectively.

What method is introduced to solve the equations?

• Elimination

• Substitution

• Matrix

• Graphical

What is the first step in solving the first equation?

• Multiply both equations

• Make y the subject

• Add both equations

• Make x the subject

What is the first equation used in the substitution method?

• 4x - y = 3

• 2x + y = 4

• 3x - y = 2

• x + y = 5

What do you do after making y the subject in the first equation?

• Add a constant

• Substitute into the second equation

• Solve for x

• Graph the equation

What is the expression for y after making it the subject?

• y = 4 - 2x

• y = 4 + 2x

• y = 2x - 4

• y = 2x + 4

What operation is applied to solve for x?

• Addition

• Graphing

• Subtraction

• Order of operations

What is the equation used to substitute y in the second equation?

• 3x + 3(4 - 2x) = 2

• 3x - 2(4 - 2x) = 2

• 3x - 3(4 - 2x) = 2

• 3x + 2(4 - 2x) = 2

What is the result of grouping like terms in the equation?

• 12x = 14

• 9x = 14

• 3x = 14

• 6x = 14

What is the result of multiplying -3 with (4 - 2x)?

• 12 - 6x

• 12 + 6x

• -12 - 6x

• -12 + 6x

What is the value of x after solving the equation?

• 7/9

• 9/14

• 9/7

• 14/9