System of Equations Algebraically

What is the first step in the substitution method?

• Step 2

• find the equation that is solved for the single variable

• substitute the expression into the other equation

Identify the type of solution for the following system of equations.

• No solution.

• One solution.

• Infinitely many solutions.

• Two solutions.

Solve the system by substitution

3x + 2y = 16

7x + y = 19

• (-2,5)

• (-2,-5)

• (2,-5)

• (2,5)

What is the first step in solving a system by Substitution?

• Make sure both equations are in standard form.

• Make sure at least one equation is solved for one variable.

• Make sure both equations are in slope-intercept form.

• Make sure both equations can be solved.

What is the solution to this equation?

• one solution

• no solution

• infinite solutions

• none of these

Solve the system of equations by the substitution method

• (-6, 30)

• (-2, 10)

• (44, 39)

• No solution

• Infinite solutions

Solve the system of equations by substitution y = 4x+1 3x + 2y = 13

• (1, 5)

• (5, 1)

• (0.25, 2)

• (2, 0.25)

Solve the system of equations by substitution

y=2x

x + y = 9

• (6, 3)

• (3, 6)

• (-3, -6)

• no solution

Solve each system by substitution.

• A

• B

• C

• D

Solve each system by substitution.

• A

• B

• C

• D