Solving Systems of Equations Using Substitution

What is the first step in solving systems of equations using substitution?

• Graph the equations

• Check the solution

• Substitute the value into the other equation

• Solve an equation for one variable

In Example 1, what is the value of x when solving the system x + y = 5 and y = 3 + x?

• 2

• 1

• 3

• 4

After finding x = 1 in Example 1, what is the value of y?

• 3

• 4

• 5

• 2

In Example 2, which variable is easier to solve for initially?

• y in the second equation

• x in the second equation

• x in the first equation

• y in the first equation

What is the final solution for the system in Example 2?

• (1, 2)

• (2, 1)

• (3, 4)

• (4, 3)

In Example 3, what does it mean when you end up with a statement like 3 = 7?

• There is one solution

• There are infinitely many solutions

• There is no solution

• The solution is incorrect

What type of lines represent a system with no solutions?

• Perpendicular lines

• Coinciding lines

• Parallel lines

• Intersecting lines

In Example 4, what does it mean when you end up with a statement like 8 = 8?

• There is one solution

• There are infinitely many solutions

• There is no solution

• The solution is incorrect

When is it easier to use the substitution method instead of graphing?

• When equations are in slope-intercept form

• When equations are not in slope-intercept form

• When equations have infinitely many solutions

• When equations have no solutions

What should you do after finding the values of x and y in a system of equations?

• Check the solution in the original equations

• Solve another system

• None of the above

• Graph the equations