SOLUTION: Using the graphing method how many solutions does this system have. 6x-2y=4 12x-6y=8

Question 126086This question is from textbook Algebra 1 Concepts and Skills
: Using the graphing method how many solutions does this system have. 6x-2y=4
12x-6y=8 This question is from textbook Algebra 1 Concepts and Skills

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 need to solve for y for each equation.

So let's solve for y on the first equation

Start with the given equation

Subtract from both sides

Rearrange the equation

Divide both sides by

Break up the fraction

Reduce

Now lets graph (note: if you need help with graphing, check out this solver)

Graph of

So let's solve for y on the second equation

Start with the given equation

Subtract from both sides

Rearrange the equation

Divide both sides by

Break up the fraction

Reduce

Now lets add the graph of to our first plot to get:

Graph of (red) and (green)

From the graph, we can see that there is one solution (since one intersection corresponds to one solution)

-------------------------------

Answer:

So the system has one solution
RELATED QUESTIONS
How many solutions does this system have? Explain. 6y+5x=8... (answered by ichigo449)

Solve using the elimination method. Show your work. If the system has no solution or an... (answered by solver91311)

Solve using the elimination method. Show your work. If the system has no solution or an... (answered by mananth)

solve using the elimination method. show your work. if the system has no solution or an... (answered by mananth)

Solve using the elimination method. Show your work. If the system has no solution or an... (answered by mananth)

How many solutions does this system have? �3x + 6y = 10 �3x + 6y =... (answered by flame8855,ewatrrr)

without graphing, does this system have zero, one or infinitely many solutions {3y+2x=12 (answered by Fombitz)

Solve using the elimination method. Ff the system has no solution or an infinite number... (answered by swincher4391)