Solving Systems of Equations All Three Methods

Solve the following systems of equations using substitution:

5x - 2y = 3

y = 2x

• (6, 3)

• (1, 2)

• (3, 6)

• (2, 1)

Solve the following systems of equations using substitution:

y = 3 - x

3y + x = 5

• No solution

• (1, 2)

• (3, 0)

• (2, 1)

Write the solution to this system of equations as a coordinate pair (x,y) with no spaces.

3x + y = 10

-x - y = -20

Write the solution to this system of equations using a coordinate pair, (x,y), with no spaces.

y = -4x

-2x + y = -6

Which of the following graphs best represents a system of equations that has no solution?

• 
• 
• 
• 

What is the substitution method used for in solving a system of equations?

• To solve a system of equations

• To write a novel

• To calculate the area of a circle

• To bake a cake

In the elimination method, what operation is used to eliminate one of the variables?

• Multiplication

• Addition or subtraction

• Division

• Exponentiation

What are the steps involved in solving a system of equations using the elimination method?

• Identifying the variable to eliminate, multiplying the equations by appropriate constants, and adding or subtracting the equations to eliminate the variable.

• Dividing the equations by random numbers

• Ignoring one of the equations

• Solving for the variable with no elimination

Explain the concept of intersection point in the context of the graphical method for solving a system of equations.

• The intersection point represents the solution to the system of equations.

• The intersection point is the average of the two equations' slopes.

• The intersection point is the y-intercept of the first equation.

• The intersection point is the maximum value of the system of equations.

How can you determine the number of solutions to a system of equations using the graphical method?

• By finding the area under the curve

• By looking at the y-intercept

• By calculating the slope of the lines

• By counting the number of intersection points on the graph.