Solving Equations with Substitution

The video tutorial demonstrates how to solve a system of equations using the substitution method. The instructor begins by explaining the problem and choosing the substitution method. The first equation is manipulated to make Y the subject, which is then substituted into the second equation to solve for X. After finding the value of X, it is used to solve for Y. The tutorial concludes with a summary of the solution process.

What method is introduced to solve the equations?

• Substitution method

• Elimination method

• Matrix method

• Graphical method

What is the first step in using the substitution method?

• Make a variable the subject of the formula

• Add the two equations

• Solve for y in the second equation

• Multiply the equations by a constant

In the substitution method, what do you do after making a variable the subject?

• Add both equations

• Substitute the expression into the other equation

• Divide both equations by a constant

• Solve for the other variable

What operation is applied to solve for x after substitution?

• Addition

• Subtraction

• Order of operations

• Division

What is done after applying the order of operations?

• Add a constant to both sides

• Group like terms

• Solve for y

• Multiply by a constant

What is the value of x after solving the equation?

• 14/9

• 9/7

• 7/9

• 9/14

What is the next step after finding the value of x?

• Solve for another variable

• Substitute x into the expression for y

• Check the solution

• Substitute x into the original equation

What is the common denominator used to calculate y?

• 10

• 9

• 8

• 7

What is the final value of y?

• 9/8

• 8/9

• 9/7

• 7/9