Graphs can be used in the following way to estimate the solution of a system of liner equations. After you graph however many equations you have, the point of intersection will be your solution. However, reading the exact solution on a graph may be tricky, so that's why other methods (substitution and elimination) are preferred.
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there is no linear equations that has no solution every problem has a solution
y=f(x) and y =g(x) are two linear equation of x. the intersection of their graphs will tel the solution of the equation f(x)=g(x).
To solve it by coordinate graphs you would take a point from the line and plug in the X and Y value into the equations and or inequalities.
YES, all linear equations have x-intercepts. because of the x, y has to be there 2!
A system of linear equations that has at least one solution is called consistent.