SOLUTION: Solve the system of equations by graphing. Then, classify the system.
3x-y=17
3x+4y=7
What is the solution of the system? ______
Is the system consistent or inconsisten
Algebra.Com
Question 161081: Solve the system of equations by graphing. Then, classify the system.
3x-y=17
3x+4y=7
What is the solution of the system? ______
Is the system consistent or inconsistent? ______
Are the equations dependent or independent? _______
Graph your answer to the equation.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given system of equations:
In order to graph these equations, we must solve for y first.
Let's graph the first equation:
Start with the first equation.
Subtract from both sides.
Divide both sides by to isolate .
Rearrange the terms and simplify.
Now let's graph the equation:
Graph of .
-------------------------------------------------------------------
Now let's graph the second equation:
Start with the second equation.
Subtract from both sides.
Divide both sides by to isolate .
Rearrange the terms and simplify.
Now let's graph the equation:
Graph of .
-------------------------------------------------------------------
Now let's graph the two equations together:
Graph of (red). Graph of (green)
From the graph, we can see that the two lines intersect at the point )
. So the solution to the system of equations is . This tells us that the system of equations is consistent and independent.
RELATED QUESTIONS
Solve the system of the equations by graphing. Then classify the system.
3x-y=24... (answered by oberobic)
solve the system of equations by graphing, then classifying the system. Then classify the (answered by jojo14344)
solve system of equations by graphing. Then classify the system
2x-6y=54... (answered by oberobic)
Solve the system of equations by graphing. Then classify the system.
X+y=9
x-y=-1... (answered by checkley77)
solve the system of equations by graphing then classify the system.
y=-x-12... (answered by Earlsdon)
Solve the system of equations by graphing. Then classify the system.
3x+ y=15
4x+5y=-13
(answered by drj)
Solve the system of equations by graphing. Then classify the system.
2x + y = -3... (answered by solver91311,Fombitz)
Solve the system of equations by graphing. Then classify the system
3x- y =28
3x + 4y... (answered by hokies)
Sole the system of equations by graphing. Then classify the system as consistent or... (answered by jim_thompson5910)