Solving Systems of Equations

The video tutorial demonstrates how to solve a system of linear equations using the substitution method. It begins by rearranging one of the equations to express y in terms of x, then substitutes this expression into the other equation to solve for x. Once x is found, it is used to solve for y, completing the solution to the system of equations.

What is the first step in using the substitution method to solve the given system of equations?

• Add the two equations together.

• Multiply both equations by a constant.

• Rearrange the second equation to express y in terms of x.

• Rearrange the first equation to express x in terms of y.

After substituting the expression for y into the first equation, what is the next step?

• Combine like terms and solve for x.

• Solve for y.

• Divide both sides by 5.

• Multiply both sides by 3.

What is the value of x after solving the equation?

• x = -3

• x = 3

• x = 0

• x = 5

Once x is found, how do you find the value of y?

• Multiply x by the first equation.

• Add x to the second equation.

• Substitute x back into the second equation.

• Substitute x back into the first equation.

What is the final value of y in the solution?

• y = 2

• y = 3

• y = -2

• y = 0

Which method was used to solve the system of equations in the video?

• Elimination method

• Graphical method

• Substitution method

• Matrix method