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.
(8,-22)
a linear equation
a solution to an equation is the answer
An equation that has no solution is called an equation that has no solution.
There is one solution. To find it, divide both sides of the equation by 2. This leaves you with x=5, where 5 is your solution.
the solution to a system is where the two lines intersect upon a graph.
extraneous solution. or the lines do not intersect. There is no common point (solution) for the system of equation.
(8,-22)
The solution
It is a system of linear equations which does not have a solution.
No, if two lines are parallel they will not have a solution.
a linear equation
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.
Without a second independent equation, it's not a 'system' yet.
Whether or not that there is a solution to a quadratic equation,
a solution to an equation is the answer
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.