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

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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) About Me  (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:


system%283x%2B2y=6%2Cy=4-x%29


In order to graph these equations, we must solve for y first.


Let's graph the first equation:


3x%2B2y=6 Start with the first equation.


2y=6-3x Subtract 3x from both sides.


y=%286-3x%29%2F%282%29 Divide both sides by 2 to isolate y.


y=-%283%2F2%29x%2B3 Rearrange the terms and simplify.


Now let's graph the equation:


Graph of y=-%283%2F2%29x%2B3.


Note: let me know if you need help graphing equations

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Now let's graph the second equation y=4-x:

Graph of y=4-x.


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Now let's graph the two equations together:


Graph of y=-%283%2F2%29x%2B3 (red). Graph of y=4-x (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.