SOLUTION: what is the solution of 2x+Y=-4 6x+3y=-12 i have to put it in y form first then find m and b then graph the solutions

Question 188221: what is the solution of
2x+Y=-4
6x+3y=-12
i have to put it in y form first then find m and b then graph the solutions
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.

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 one line is right on top of the other one, which means that they intersect an infinite number of times.

So there are an infinite number of solutions. This means that the system of equations is consistent and dependent.

RELATED QUESTIONS
I have to git the equation in y form then i have to find m and b then graph 3Y=2X+6 (answered by jojo14344)

this question says to graph the equation. the equation is 3(y+4) =-2x i decided to... (answered by bandgeek1749)

Can I please Have help with this, Thank you! Graph the inequalities.Then pick a... (answered by josgarithmetic)

I cannot understand how to find b in y = mx + b? as follows: Question: Put in y = mx +... (answered by funmath)

Hello i would like to know how to find the answer to a problem to find if it has one... (answered by ankor@dixie-net.com)

The following is what I am looking for in describing a line. This is what is needed to... (answered by Tatiana_Stebko)

Identify the solution(s) of the system of equations, if any. 6x + 6y = 12 y = 5 - 7x (answered by LinnW)

Determine how many solutions exist. Use either elimination or substitution to find the... (answered by mananth)

find an equation of the line having the specified slope and containing the indicated... (answered by richwmiller)