Solving Systems of Equations

Front

Lesly graphed two lines in order to find the solution to a given system of equations. What is the solution? Options: (-3,-8), (-8,-3), (3,-8), (8,3)

Back

(-3,-8)

Front

How many solutions does this system of equations have?

Back

Infinitely Many Solutions

Front

How many solutions will this system have? Options: No solution, One Solution, I Don't Know, Infinitely Many Solutions

Back

No solution

Front

What is the best method do you use?
y = 6x − 11
−2x − 3y = −7
Options: Graphing, Substitution because a variable is defined, Elimination because both equations are in standard form.

Back

Substitution because a variable is defined

Front

What is the best method to use for the equations: −4x − 2y = −12 and 4x + 8y = −24?

Back

Elimination because the equations are in standard form.

Front

What would the first line of work look like if you're solving this system using Substitution?

y = 6x − 11

−2x − 3y = −7

Back

-2x - 3(6x-11)= -7

Front

What variable do you eliminate?
4x + 8y = 20
−4x + 2y = −30

Back

X because they have opposite signs

Front

What variable would be easier to eliminate, and what do you multiply the equation(s) by? 5x + y = 9 10x − 7y = −18

Back

You eliminate y, and multiply the top equation by 7

Front

Solve for x and y
5x + 3y = 7
y = 4

Back

(-1,4)

Front

Solve for x and y
3x + 2y = 16
7x + y = 19

Back

(2,5)