MagicMath: Simultaneous linear equations

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Simultaneous Linear Equations

Given the equations for two straight lines, you can find their point of intersection by solving the two equations simultaneously. The solution is a point on both lines, satisfying both equations.

Each equation, involving the variables x and y, is in the general form

a * X + b * Y = c

where a, b, and c are parameters representing fixed numbers for any given line.

Enter the equations to see the solution and the plot:

Equation one:
Equation two:

Math Detective: Is it true that any pair of linear equations in two variables yields a solution? If not, why not?

Tell Me More: About how to solve two linear equations.

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