NinjaDevo

There are three ways to solve questions like these.

We can solve this by substitution, which is where you find what, say, x equals, and put that in for x in the other equation to solve for y. Then put that number in for y and solve for x.

We can solve by elimination, which is where you set it up so when you "add" these two equations together, you will get one varible, (so just x, or just y) and you can solve for that, then put that in and solve for the other varible.

Lastly you can solve by graphing. You can solve these by setting these lines up in the slope intercept form, graph the two lines, and then where they intersect is solution to this system.

Let's solve this by substitution. You can solve it any way you'd like, but this is how I'll solve this.

Let's find what x equals in the second equation, which is  

x+y=3        ---Subtract y from both sides

x = 3 - y

Now we can put what x equals in the first equation, and find the value of y.

2x + 3y = 7              ---Put (3 - y) in for x, because this is what x equals

2(3-y) + 3y = 7           ---Distribute out 2(3-y)

6-2y+3y=7            ---Combine -2y and 3y to get y

6+y=7                  ---Subtract 6 from both sides

y = 1

Now we know the value of y. Let's put this in the first equation and solve for x.

2x + 3y = 7

2x + 3(1) = 7

2x + 3 = 7           ---Subtract  from both sides

2x = 4              ---Divide both sides by 2

x = 2

The solution to this system of equations is, *drumroll please*, x = 2 and y = 1!

y is the same thing as y¹

Now we have:

y¹*y⁵*y⁵

Now we have to remember that if we multiply numbers with exponets, and they have the same base, we can add the exponets. (y would be the same base here)

 y¹*y⁵*y⁵

 y^(1+5+5)

y¹¹

So this expression simplifes to y¹¹.

Type in your problem, and put parentheses around your fractions to indicate that these are fractions.

So your answer is 

$$-\frac{3}{8} \;\mbox{or} -0.375$$ 

$$We want to solve for p here. This means we want to get p alone on one side.\\
$8.5 = 5p$\qquad\qquad\mbox{Divide both sides by 5 to "clear" the 5 from the right side}\\
$8.5\div 5 = p$\\
Now we found p, but we have to simplify the left side. 8.5 is the same thing as $8\frac{5}{10}$, which is the same thing as $8 \frac{1}{2}$, which is the same thing as $\frac{17}{2}$. So, now we have:\\
$\frac{17}{2}\div 5 = p$\\
Remember, when we divide a number, it is the same thing as multiplying by that numbers reciprocal, this means we now get:\\
$\frac{17}{2}\times\frac{1}{5} = p$\qquad\qquad\mbox{Multiply these fractins together}\\\\
$\frac{17}{10} = p$\\
This means $p =\frac{17}{10}$, or $p=1\frac{7}{10}$, or $p = 1.7$$$

There are a few ways to solve this. We can solve this by graphing, elimination, or substitution.

It looks like elimination will be the easiest way to solve this. To solve two equations by elimination, you basically add these two equations together. Let's do this.

    -2x-5y=-6

+   2x-7y=-14

-----------------------

        -12y = -20

Now we'll solve for y.

 -12y = -20         ---Multiply both sides by a negative

-(-12y)=-(-20)

12y = 20            ---Divide both sides by 12

y = 20/12           ---reduce the fraction by dividing he top and bottom by 4

y = 5/3

Now we put y in one of the original equations to solve for x. Let's pick the first equation.

-2x-5y=-6 

-2x-5(5/3)=-6 

-2x -25/3= -6                ---Multiply everything by a negative

2x +25/3 = 6               ---subtract 25/3 from both sides

2x = 6 - 25/3

2x = 6/1 - 25/3

2x = 18/3 - 25/3

2x = -7/3                      ---Divide btoh sides by 2

x = -7/3 ÷ 2

x = -7/3*1/2

x= -7/6

Our solution is that x = -7/6, and y = 5/3.

Here we have to remember the distributive property. This basically tells us that if there is a number before parentheses, we multiply that number times everything in those parentheses. Here's how you'd solve this:

I don't think it's possible to put an equal sign in the website's calculator, unless you have a keyboard attached to your computer.

So, basically, I don't think you can do this from a mobile device.

Here's how you do this if you have a keyboard attached to you computer:

No prob. Those minus signs can be tricky. :)

We want to find x = something, becuase that will tell us what x equals.

Here's how you'd solve this one:

2x/3+x/4=17/12          ---Multiply both sides by 3 to "clear" this divided 3 from the left side

2x+x/4=17/12*3          ---Now we'll do the same thing to the /4. Here I multiplied both sides by 4

2x+x=17/12*3*4          ---Combine the 2x and x to get 3x on the left side

3x=17/12*3*4             ---Now multiply 17 times 3 times 4 and put that over 12.

3x=(17*3*4)/12     

3x=(51*4)/12

3x=204/12                  ---204 divided by 12 is 17

3x=17                        ---Divide both sides by 3 to kind x.

x = 17/3

CPhill, I think you misinterpreted the second equation of a line. :)

You had 

$$y=\frac{1}{4}x-3$$

but it looks like it is really 

$$y=-\frac{1}{4}x-3$$