SOLUTION: y=x+3 8x-7y=12

Question 144159: y=x+3
8x-7y=12
Found 3 solutions by jim_thompson5910, Alan3354, MathLover1:
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Start with the given system

Plug in into the first equation. In other words, replace each with . Notice we've eliminated the variables. So we now have a simple equation with one unknown.

Distribute

Combine like terms on the left side

Add 21 to both sides

Combine like terms on the right side

Now that we know that , we can plug this into to find

Substitute for each

Simplify

So our answers are and
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!

Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!
...write in standard form

...

Solved by pluggable solver: Solve the System of Equations by Graphing

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

Add to 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 the two lines intersect at the point (,) (note: you might have to adjust the window to see the intersection)

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