Simultaneously solve the equations 3x+2y=36 and 5x+4y=64

The easiest way to solve a simultaneous equation is by the method of substitution. First of all, we take the first equation, and rearrange it so that it is in terms of y. Or, in other words, rearrange it so that it becomes y=something, as shown below. 3x+2y=36 Subtracting 3x from both sides and then dividing both sides by 2 gives us: y=18-1.5x We then substitute this into the second equation, in place of y. Giving us: 5x+4(18-1.5x)=64 Multiplying out of the brackets gives us. 5x-6x+72=64 Which, with simplification, and 72 subtracted from both sides, gives us: -x=-8 which is the same as x=8. Then, all we need to do in put this value of x into either of the original equations, giving us y=6.