x=4+y
4x+y=1 = 4(4+y)+y=1
16+4y+y=1
16+5y=1
5y=-15
y=-3
x=4+y = x=4+(-3)
x=1
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The answer depends on whether they are linear, non-linear, differential or other types of equations.
Solving linear systems means to solve linear equations and inequalities. Then to graph it and describing it by statical statements.
You can use a graph to solve systems of equations by plotting the two equations to see where they intersect
Linear Algebra is a branch of mathematics that enables you to solve many linear equations at the same time. For example, if you had 15 lines (linear equations) and wanted to know if there was a point where they all intersected, you would use Linear Algebra to solve that question. Linear Algebra uses matrices to solve these large systems of equations.
Yes you can, if the solution or solutions is/are real. -- Draw the graphs of both equations on the same coordinate space on the same piece of graph paper. -- Any point that's on both graphs, i.e. where they cross, is a solution of the system of equations. -- If both equations are linear, then there can't be more than one such point.