System of Equations: Solutions with x > 0 & y < 0

Thread starter aldrinkleys
Start date Jan 1, 2011
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System System of equations

In summary, a system of equations is a set of two or more equations used to solve for multiple variables simultaneously. The solutions for x > 0 & y < 0 indicate that the values of x and y result in a positive and negative value respectively. These systems can be solved using methods such as substitution or elimination. They are important in representing real-life situations with constraints on x and y, but have limitations if the equations are inconsistent or the constraints are not feasible.

Jan 1, 2011

aldrinkleys

N integer that satisfies

I mean, the system has solution
with x >0 and y < 0

a) {-2,2}
b) {0,1}
c) {6,7}
d) {-3,-1,2}

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Jan 1, 2011

Dick

Science Advisor

Homework Helper

I'm assuming the {} things are choices for n. You might actually just have to solve some equations. Does n=(-2) give a solution with x>0 and y<0? If not then you can eliminate a) and move on to b).

FAQ: System of Equations: Solutions with x > 0 & y < 0

What is a system of equations?

A system of equations is a set of two or more equations that are used to solve for multiple variables at the same time. Each equation represents a relationship between the variables and the goal is to find values for the variables that satisfy all of the equations simultaneously.

What does it mean for a system of equations to have solutions with x > 0 & y < 0?

This means that when the values of x and y are plugged into the equations in the system, they result in a positive value for x and a negative value for y. In other words, the solution to the system of equations falls in the quadrant where x is positive and y is negative on a coordinate plane.

How are systems of equations with solutions of x > 0 & y < 0 solved?

These systems of equations can be solved using various methods, such as substitution or elimination. The goal is to manipulate the equations to eliminate one variable, leaving only one equation with one variable to solve. This process is repeated until all variables are solved for and the solution for x and y is found.

Why are systems of equations with solutions of x > 0 & y < 0 important?

These types of systems of equations are important because they can represent real-life situations where there are constraints on the values of x and y. For example, in economics, x and y could represent the production quantities of two goods and the constraints could be limited resources. Solving these systems can help determine the optimal production levels.

Are there any limitations to systems of equations with solutions of x > 0 & y < 0?

Yes, there are limitations. These systems of equations only have solutions if the equations are consistent and the constraints are feasible. If the equations are inconsistent or the constraints are not possible to fulfill, then there will be no solutions for x and y that satisfy all of the equations.