Solving Simultaneous Equations Steps

This video tutorial demonstrates how to solve a pair of simultaneous equations using the substitution method. It begins by rearranging one of the equations to isolate a variable, then substitutes this expression into the second equation to solve for the other variable. The tutorial continues by substituting back to find the first variable and concludes with verifying the solution.

What is the first step in using the substitution method to solve simultaneous equations?

• Multiply both equations by a constant.

• Rearrange one equation to isolate a variable.

• Divide both equations by a constant.

• Add the two equations together.

In the given problem, which variable is isolated in the first equation?

• y

• z

• w

• x

What expression is used to substitute for x in the second equation?

• y + 3

• y - 3

• 3 + y

• 3 - y

After substituting x in the second equation, what is the next step?

• Solve for x.

• Multiply both sides by 2.

• Rearrange the equation again.

• Solve for y.

What is the value of y after solving the substituted equation?

• 0

• 1

• 3

• 2

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

• Substitute y back into the original second equation.

• Substitute y back into the rearranged first equation.

• Add y to the second equation.

• Multiply y by 2.

What is the final value of x in the solution?

• 2

• 1

• 0

• 3

How can you verify the solution to the simultaneous equations?

• By substituting random values into the equations.

• By graphing the equations.

• By solving the equations again using a different method.

• By checking if both equations are satisfied with the found values.