solve by substitution method 6x+15y=18 and 6x-4y+19=0
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Simultaneous Equations - Also known as a system of equations, simultaneous equations are a set of equations containing multiple variables.
For example, the equations x + 2y = 10 and 3x - y = -3 form simultaneous equations.
Solution - A value or set of values that make the simultaneous equations true.
For example, the solution to the equations 2x + 3y = 15 and x - y = -10 is x = -3 and y = 7.
Simultaneous equations are used when trying to find the intersection of two lines (two equations) or three planes (three equations). If any of the equations are equivalent, there will be an infinite number of solutions. If none of the equations are equivalent, then either one unique solution or no solution exists. (The process of solving simultaneous equations and finding whether a solution exists will be discussed in much greater detail in a few paragraphs).
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