Introduction to System of Equations

Which system of equation method would be the best one to use given?

x + y = 4

x - y = -6

• Substitution

• Elimination

• Graphing

• Continuous

Which system of equation method would be the best one to use given?

y = 2x + 4

2x - 4y = 8

• Substitution

• Elimination

• Continuous

• Graphing

Which system of equation method would be the best one to use given?

y = 3x + 5

y = -2x - 6

• Elimination

• Graphing

• Substitution

• Continuous

Which system of equation method would be the best one to use given?

y = 2x

5x - y = 9

• Continuous

• Elimination

• Substitution

• Graphing

Given the system of equation

x = 2y + 11

3x + 2y = 9

what would be the FIRST step?

• Plug them into desmos

• Substitute 2y + 11 for x in the second equation

• Substitute 3x + 2y for y in the first equation

• Eliminate the x values and solve

Given the system of equation

2x + y = 6

-2x + 2y = 12

what would be the FIRST step?

• Eliminate the y values

• Eliminate the x values

• Substitute 2x + y for x in the second equation

• Multiply both equations by -2

If using the substitution method, given the system

6x - 4y = -5

2x + y = 3

what would be the FIRST step?

• Solve the second equation for y

• Substitute 2x + y for y in the first equation

• Eliminate the x values

• Find the intersection of the two equations

Which system of equation method would be the best one to use given?

y = 3x + 8

4x + 2y = 6

• Substitution

• Elimination

• Continuous

• Graphing

TRUE or FALSE:

All system of equations can be solved using any method.

• True

• False

TRUE or FALSE:

When graphing, the solution to the system of equations is where it crosses the x - axis.

• TRUE

• FALSE