How do you find the solution to a systems of equations graphically?
Responses
find the slope of the graphs
find the slope of the graphs
It is the coordinate pair at the place where the 2 linear graphs intersect
It is the coordinate pair at the place where the 2 linear graphs intersect
it is the y-intercept of a linear equation
it is the y-intercept of a linear equation
it is the place where two equations have the same slope and y-intercept
it is the place where two equations have the same slope and y-intercept
Question
What will the graph look like for a system of equations that has no solution?
Responses
The lines will be perpendicular
The lines will be perpendicular
The lines will cross at one point
The lines will cross at one point
Both equations will form the same line
Both equations will form the same line
The lines will be parallel.
The lines will be parallel.
The lines will be parallel.
What is the solution to the system of equations?
Responses
Infinite Solutions
Infinite Solutions
No Solution
No Solution
(-2,3)
(-2,3)
(-1.-1)
(-2,3)
Which two equations are represented in the following graph?
Responses
There is no graph provided to answer this question.
Georgia Connections Academy is selling tickets to its Spring Fling. Adult tickets cost $4 and student tickets cost $2.50. The school makes $2,820. Write an equation that represents this situation to find the cost of all adult and student tickets sold. Use the variable s for student tickets and a for adult tickets sold.
a +
s=
.
900 tickets are sold for the spring fling. Write an equation to represent this situation.
a+
=
Use the above systems of equations to determine how many adult and student tickets were sold.
Adult tickets and
student tickets.
a = 600 - 0.4s
a + s = 900
Substitute the first equation into the second equation:
(600 - 0.4s) + s = 900
Simplify and solve for s:
600 + 0.6s = 900
0.6s = 300
s = 500
Substitute s = 500 into the first equation to solve for a:
a = 600 - 0.4(500)
a = 400
Therefore, 400 adult tickets and 500 student tickets were sold.
Responses
Multiply equation 1 by 2 and multiply equation 2 by 3
Multiply equation 1 by 2 and multiply equation 2 by 3
Multiply equation 2 by 2
Multiply equation 2 by 2
Multiply equation 1 by 2
Multiply equation 1 by 2
Multiply equation 2 by 2 and multiply equation 1 by -2.