How to solve equation: 25x+22y=488

[dgorack]

Looking at the equation: 25x+22y=488, I can see that y=4 and x=16 but how to I write the steps to solve this equation?

25(16) + 22 (4) = 488
400 + 88 = 488

[maggiemagnet]

Looking at the equation: 25x+22y=488, I can see that y=4 and x=16 but how to I write the steps to solve this equation?

If you mean "what steps do I use to show that (x,y)=(16,4) is an answer?", then the steps you showed are just fine. If you mean "what steps do I use to find this and other answers?", then you can see how to do that here. The equation is for a straight line and every answer for the equation is a point on the line. You can pick whatever numbers you want for one of the letters and then you solve for the other letter. Like:

x=0: 25*0+22y=0+22y=22y, 22y=448, y=448/22=224/11

So (x,y)=(0,224/11) is also an answer!