graphing question

**daniel323** · May 6th 2010, 01:49 PM

need help Solve the system of equations below by graphing them with a pencil and paper. Enter your answer as an ordered pair.

y = 2x - 3
y = -2x + 5

**Anonymous1** · May 6th 2010, 01:55 PM

Originally Posted by daniel323

need help Solve the system of equations below by graphing them with a pencil and paper. Enter your answer as an ordered pair.

y = 2x - 3
y = -2x + 5

I mean you could just plot them out using...

$y = mx + b$

...where $m$ is the slope and $b$ is the intercept.

Or, add the equations like so:

$y = 2x - 3$
$\underline{y = -2x + 5}$

$2y = 2 \implies \fbox{y=1}.$

So, subbing $y=1$ back into your first equation gives

$(1) = 2x-3 \implies \fbox{x=2}.$

The answer is $(2,1).$

**daniel323** · May 6th 2010, 01:59 PM

how ??

**Anonymous1** · May 6th 2010, 02:05 PM

Choose some $x$ values to plug in to both equations, then find the corresponding $y$ values:

$\underline{x}$ $\underline{y}$

$1$ ..

$2$ ..

$3$ ..

Then, plot these coordinates on a graph for both equations.

You want the point at which the two lines intersect.

**daniel323** · May 6th 2010, 02:08 PM

it was incorrect

**Anonymous1** · May 6th 2010, 02:09 PM

Originally Posted by daniel323

it was incorrect

Check again. I wrote "x=2" and "y=1" but accidentally wrote "(1,2)." The answer is (2,1).

**daniel323** · May 6th 2010, 02:10 PM

i got it wrong i cant go back to it its online test

**daniel323** · May 6th 2010, 02:11 PM

it was 2,1

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