Solve the simultaneous equations 5x+2y=13 and x-2y=5.

5x+2y=13 + x-2y = 5 6x =18Firstly you need to either add or subtract one equation from the other. The way to decide this is to either focus on the x's or the y's. The trick to solving these simultaneous equations is to make sure you completely get rid of either the x's or the y's. Here it is easier to get rid of the y's because in each equation we have 2y's. This means x = 3 that we have to add the two equations together as 2y + -2y = 0. When you add the two equations you have to add the x's together, the y's together and the end values together. After doing this, it leaves us with 6x=18. Now solve for x by dividing each side through by 6. This gives x=3. 5(3)+2y=13 15+2y=13 2y=-2 y= -1Now we need to find the value of y. We can now simply plug x=3 into either of the two equations to find y. Plugging x=3 into the first equation and then solving it gives y=-1. So the answer to this question is simply x=3, y= -1.