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There are several methods.

1. graphing, then find the intersection.

2. Substitution (take one equation and solve for one variable, substitute that into the 2nd equation)

3. Elimination. Arrange both equations in standard form, arrange so that the coefficients on one of the variables are the same and subtract the 2 equations.

4. Cramer's rule, use matrices to solve.

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Q: How do you find the solution to a system of equation?
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Related questions

The solution of a system of equation is?

the solution to a system is where the two lines intersect upon a graph.


If there is no solution to a system of equations it means?

extraneous solution. or the lines do not intersect. There is no common point (solution) for the system of equation.


What are the solution of a system of equation?

(8,-22)


What is it called when you find the answer to an equation?

The solution


What is inconsistent system of linear equation?

It is a system of linear equations which does not have a solution.


Does every system of a linear equation have a solution?

No, if two lines are parallel they will not have a solution.


What is a system of equations that has at least one solution?

a linear equation


How do you check a solution to a system of equations?

Put the values that you find (as the solution) back into one (or more) of the original equations and evaluate them. If they remain true then the solution checks out. If one equation does not contain all the variables involved in the system, you may have to repeat with another of the original equations.


What is the solution of the system yx 6?

Without a second independent equation, it's not a 'system' yet.


What do you find when you determine the discriminant?

Whether or not that there is a solution to a quadratic equation,


What is the solution to an equation?

a solution to an equation is the answer


What is the word for a number that makes an equation true?

Solution. A solution of an equation is a number that satisfy the equation. This means that if you replace this number on the equation and check it, the equation will be true. When you solve an equation you can find some roots, but not all of them satisfy the equation. Thus always check your answers after resolving your equation, and eliminate as solution the answers that don't make the equation true or undefined.