Question

Solve the following system of equations algebraically:?
Y=400+20X, Y=600+10X

Answer 1

well y=y so you can just set them = to each other

400+20x=600+10x solve for x

Answer 2

Each of these equations represents lines on a graph, the "solution" is the point where the two lines cross, thus to solve, you set the equations as equal to one another.

Answer 3

You can check your answer with a graphing calculator

Answer 4

I NEED HELP WITH THE STEPS.

Answer 5

well.. 400+20x=600+10x
-200=10x
... finish solving for x then plug into one of the equations for y

Answer 6

-20x+y=400
-10x+y=600

We can use elimination for this.
Multiply 2nd equation by -2 and then add together to get rid of x.
-20x+y=400
20x-2y=-1200

=>-y=-800
y=800

Then plug in y and solve for x.
-20x+800=400
=>-20x=-400
x=20

Try it in the other equation.
-10x+400=600
-10x=-200
x=20

Hope this helps.

Thanks,
Sean Walsh
Facebook: Tutor Sean
http://www.tutorsean.net

Answer 7

WHERE DID YOU GET THE -20 AND THE -10 IN THE EQUATIONS? IT'S A POSITIVE 10 AND 20?

Answer 8

Using algebra to manipulate across the equals sign.
Y=400+20X is the same as Y-20X=400+20X-20X.
:)

Answer 9

Did that help clarify? You can use the gaussian elimination method as shown above to solve these types of equations and it makes it really easy. This is a method which is taught in some algebra classes but mainly in Linear Algebra, which shows numerous techniques. If you check out my site, there are a few free videos on linear algebra shortcuts you may find useful for systems of equations.
http://www.tutorsean.net

Answer 10

algebraically determines when the two savings plans yield identical balances and accurately states the balance. ...using the two equation this is what i need to find....Solve the system of equations algebraically to determine when the two savings plans
yield identical balances and state this balance.

Answer 11

You will find the same answer this way. Here is what I think you are talking about.
400+20x=600+10x
20x=200+10x
10x=200
x=20
Now plug in for x in either equation to find y.

Answer 12

confused...so i could just plug in any #?