Question

1. # What Is The Value Of X In The Solution To The Following System Of Equations? X − Y = −3 X + 3Y = 5

Solving systems of equations can be intimidating, but it doesn’t have to be! With a few simple steps, you can find the solution to any system of equations with ease. In this article, we’ll take a look at what is the value of x in the solution to the following system of equations: x − y = −3 and x + 3y = 5. We will discuss what values each variable can take on and how to use algebraic manipulation to solve for x. After reading this article, you will not only understand how to find the solutions to these types of problems but also see why they are important in many fields such as mathematics, engineering, physics, and economics.

## What is a system of equations?

A system of equations is a set of two or more equations that contain the same variables. The value of x in the solution to the following system of equations is the point where the two lines intersect.

## What is the value of X in the solution to the following system of equations?

In order to solve a system of equations, you must find the value of each variable that makes all of the equations true. In this case, we are looking for the value of X that will satisfy both equations.

To start, let’s look at the first equation: X – Y = -. We can see that in order to make this equation true, X must be equal to Y + . So now we know that X = Y + .

We can plug this value of X into the second equation: – X + Y = . When we do, we get: -(Y + ) + Y = , which simplifies to: -Y + Y = . This equation is always true, no matter what values we plug in for Y and , so it doesn’t give us any new information.

Therefore, the solution to the system of equations is X = Y + .

## How to solve a system of equations

When solving a system of equations, there are a few different methods you can use. The most common method is substitution, where you solve for one variable in terms of the other and then plug that back into one of the original equations. In this case, we can solve for x in the second equation:

x = y

And then plug that back into the first equation:

x – y = -x + y

2x = 0

Which means that x = 0.

## Conclusion

In conclusion, after solving the system of equations given in this article, we have determined that the value of x is equal to 2. This information can be used to solve other systems of equations with similar properties, or even certain real-world problems. We hope this article has been helpful and given you a better understanding of how to solve these types of equations.

2. What is the value of X in the solution to the following system of equations?

X − Y = −3
X + 3Y = 5

The value of X in the solution to the system of equations above can be determined using the substitution method.

First, we need to solve for Y in the first equation by subtracting X from both sides. We get Y = X + 3.

Next, we plug this into the second equation, resulting in X + 3(X + 3) = 5. We can then solve for X by distributing the 3 and combining like terms. This gives us 4X + 9 = 5.

Finally, we solve for X by subtracting 9 from both sides, resulting in 4X = -4. We can then divide both sides by 4 to get X = -1.

Therefore, the value of X in the solution to the system of equations is -1.