SOLUTION: What is the x, y values for the eqautions y=-2x+7, and y=x^2-4x, I need to find the x, y values then plott onto a graph. Donetta McCormick

Question 357156: What is the x, y values for the eqautions y=-2x+7, and y=x^2-4x, I need to find the x, y values then plott onto a graph.
Donetta McCormick
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the first equation.

Plug in

Get every term to the left side.

Combine like terms.

Notice that the quadratic is in the form of where , , and

Let's use the quadratic formula to solve for "x":

Start with the quadratic formula

Plug in , , and

Negate to get .

Square to get .

Multiply to get

Rewrite as

Add to to get

Multiply and to get .

Simplify the square root (note: If you need help with simplifying square roots, check out this solver)

Break up the fraction.

Reduce.

or Break up the expression.

So the solutions are or

Now let's find the corresponding y values.

Let's find the value of y when

Start with the first equation.

Plug in

Distribute.

Combine like terms.

So when , which gives us the ordered pair

Now let's find the value of y when

Start with the first equation.

Plug in

Distribute.

Combine like terms.

So when , which gives us the ordered pair

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