SOLUTION: Solving Linear Systems graphically d) 3x+2y=6 g) 2x-5y=10 y=4-x x+3y=-6 Thankssssssss and ppleaseeeeeeeeeeeeeee

Question 180906: Solving Linear Systems graphically
d) 3x+2y=6 g) 2x-5y=10
y=4-x x+3y=-6

Thankssssssss and ppleaseeeeeeeeeeeeeee
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

I'll do the first one to get you started

d)

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 .

Note: let me know if you need help graphing equations

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Now let's graph the second equation :

Graph of .

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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.

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