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Q: Two equations set equal to each other creates a what?
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What is the formula for system of equations?

They are formed by two expressions that are equal to each other.


How do you find equivalent rate?

You set the two equations equal to each other and then solve for the variable.


How can you tell if a system of equations has no solution?

Assuming that the system is two linear equations of two unknowns, solving by substitution will produce a constant that is equal to a different constant. This is because each equation defines a line and the only way for there to be no intersecting points between the two lines would be for them to be parallel to each other. So that their y=mX+b forms will only differ by their y-intercepts since their slopes will be identical. Setting the mx+b portion of the two equations equal to each other allows us to subtract mx from each side of the equal sign leaving us with the slope intercepts being equal to each other. BUT since the y-intercepts were different, we will arrive at a contradiction. By the way, solving a system of linear equations and having it produce a constant being equal to itself means that the two lines coincide and have infinitely many solutions.


How do you solve for x with equal values method?

First, if you have two equations like, for instance .90x+2000 and .40x+3500 then you would set them equal to each other like this ( .90x+2000=.40x+3500). Then you would solve for x by simplifying the equations as far down as you can.


How do you add and subtract equations?

You add one side of each of the equations to form one side of the new equation. You add the other sides of the equations to form the other side. Subtraction is done similarly.

Related questions

What is the formula for system of equations?

They are formed by two expressions that are equal to each other.


How do you find equivalent rate?

You set the two equations equal to each other and then solve for the variable.


What is a word for2 expressions set equal to each other creates?

an equation


How does solving a literal equation differ from solving a linear equation?

Because linear equations are based on algebra equal to each other whereas literal equations are based on solving for one variable.


How can you tell if a system of equations has no solution?

Assuming that the system is two linear equations of two unknowns, solving by substitution will produce a constant that is equal to a different constant. This is because each equation defines a line and the only way for there to be no intersecting points between the two lines would be for them to be parallel to each other. So that their y=mX+b forms will only differ by their y-intercepts since their slopes will be identical. Setting the mx+b portion of the two equations equal to each other allows us to subtract mx from each side of the equal sign leaving us with the slope intercepts being equal to each other. BUT since the y-intercepts were different, we will arrive at a contradiction. By the way, solving a system of linear equations and having it produce a constant being equal to itself means that the two lines coincide and have infinitely many solutions.


How do you make equations equivalent?

You cannot change two existing, completed equations so that they are equal to each other. However, when working with two equations, you may set them equal to each other to solve a system of equations. An example is the system of 2x+5y=103x-5p=10 You may now combine the two, as they both are equal to ten. This results in the eqation of 2x+5y=3x-5p You may simplify this to 5y=x-5p This brings you one step closer to solving, and one may complete the system with some additional information.


How do you solve for x with equal values method?

First, if you have two equations like, for instance .90x+2000 and .40x+3500 then you would set them equal to each other like this ( .90x+2000=.40x+3500). Then you would solve for x by simplifying the equations as far down as you can.


What must be true about the accounting equations after each transaction?

they must be equal on both sides


How do you solve a system of equations?

For your situation, you probably have 2 equations with 2 unknowns (x and y, for example). If this is the case, solve both equations for y (so you get y=....). Then, since these are both equal to the same thing (y) they are both equal to each other. This means set the 2 equations equal to each other. Now you will only have 1 unknown (x, most likely) and 1 equation (with stuff on both sides). Solve for x, you should get a number. Now, go back to the beginning where you solved for y and plug in your x-value into one of the equations to find a number for y.When you get done, it is always a good idea to substitute the solutions into the original equations to verify that your calculations were correct.


Definition of linear equations?

A linear equation an equation whose graph is a line. A linear equation is made up of two expressions set equal to each other.


What are equivalent expressions?

Two or more expressions (equations are examples) that are equal to or equivalent to each other; for example: (X+2)(X+4) = X^2+6X+8.


How do you add and subtract equations?

You add one side of each of the equations to form one side of the new equation. You add the other sides of the equations to form the other side. Subtraction is done similarly.