to solve the system of equations?

Question

Hello good people. Thank you from the bottom of my heart for all of your help. I'm solving the system of Equations. Now, I have the equation 3x-4y=-11 wouldn't I let x=0 and find y and let y=0 and find x?. or am I mixing this problem up with another?.

Answer 1

You are finding the x-intercept and y-intercept for graphing the line.
If you are solving a system of equations, you have to have at least two equations to work with.

Answer 2

No. Try to understand the difference between an equation and an identity. The the set of expressions that you are considering is basically a relation between x and y. This relation may be of two types. (1) An identity or (2) Eqn.

If a relation is satisfied by any value given to its variables then this is an identity. For example
Sin^2x + Cos^2x = 1
This relation is true for all values of x Hence this is an Identity.
Where as consider the relations that you have given -
3x - 4y = -11. This an incomplete relation. We must have at least one more independent relation for its solution. In this case this is an equation. Only one value of x and y can satisfy. You cannot choose this value arbitrarily.

Answer 3

A system of equations has 2 or more equations with 2 or more variables.
It can be solved with graphing, addition (sometimes called elimination) or substitution.
I think what you are finding, when you let x or y be zero are the intercepts.

Answer 4

You said system of equation(s)
where is the other one?
You need two equations to solve for x and y when you have two variables.

what you describe is how to find the x and y intercepts.
when you need to plot the line.

Answer 5

You'd let x= 0 if you were to find the standard line equation, making it easy for you to graph. You are correct. I learned this in algebra.

Answer 6

Well, yes, you could do that. Just plug in zero for each of the variables and see what you get. You'll get two different solution sets.