Simultaneous equations are two or more algebraic equations that share variables e.g. x and y. They are called simultaneous equations because the equations are solved at the same time.

For example, below are some simultaneous equations :
6a + 2b = 18, a + b = 14;
3h + 2i = 8, 2h + 4i = -7

To solve for the two unknowns, we use the method of elimination. If the coefficients of the variables are the same in both the equations, add or subtract the equations in order to eliminate one variable and solve for the other.

If the coefficients of the variables are different, first make the coefficient of either of the variable same by multiplying with appropriate constant and then proceed to adding or subtracting the equations to eliminate one variable.

If the coefficients of the variables are different, first make the coefficient of either of the variable same by multiplying with appropriate constant and then proceed to adding or subtracting the equations to eliminate one variable.

Recapping Simultaneous Equations in this video.

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