That way it is possible to find the only pair of values that solve both equations at the same time. These are known as simultaneous equations. The unknowns of \(x\) and \(y\) have the same value ...

For example, the simultaneous equations \(3a + 2b = 17\) and \(4a - b = 30\) have no common coefficient as the coefficients of \(a\) are 3 and 4, and the coefficients of \(b\) are 2 and -1.