Solve a System of Linear Equations Using Substitution

What is the primary objective of using substitution to solve a system of equations?

• To find the point of intersection of the equations.

• To graph the equations on a coordinate plane.

• To eliminate one variable from the equations.

• To convert the equations into a single variable equation.

Which step involves substituting the expression from one equation into another?

• Step 4

• Step 3

• Step 2

• Step 1

What is the final step in solving a system of equations using substitution?

• Combining like terms.

• Substituting the value back into the original equation.

• Checking the solution.

• Writing the solution as an ordered pair.

In the first example, what is the solution to the system of equations?

• (3, 3)

• (0, 0)

• (1, 1)

• (2, 2)

Why is it important to check your solution after solving a system of equations?

• To ensure the solution satisfies both equations.

• To check if the solution is an integer.

• To verify the graph is correct.

• To confirm the equations are linear.

In the second example, what is the value of X in the solution?

• 5.5

• 3.5

• 2.5

• 4.5

What is the ordered pair solution for the second example problem?

• (4.5, 3.5)

• (3.5, 2.5)

• (5.5, 4.5)

• (2.5, 1.5)

In the final example, what is the value of Y when X is 6?

• 2

• 3

• 4

• 5

What is the benefit of using substitution over graphing for solving systems of equations?

• It requires less calculation.

• It is more visual.

• It provides an exact solution.

• It is faster.

What is the ordered pair solution for the final example problem?

• (3, 1)

• (4, 2)

• (5, 3)

• (6, 2)