solve by graphing 4x+2y=16 and x+y=5?

Answer 1

Um, we can't graph on here, so that makes this a little tricky.

4x+2y=16 (now subtract 4x from each side)
2y= -4x+16 (now divide both sides by 2)
y= -2x+8

for the other equation, just subtract x from both sides to get
y= -x+5

You graph both of these equations, and where they intersect is the solution. You should get x=3, y=2.

Answer 2

As we see from the previous answer, you will get the equations:

y=8-2x
y=5-x

You can graph these straight away, or do two other things:

- Solve this problem algebarically (which is not asked for, but I will show it anyway, for your convenience)
- The following:

y=8-2x
y=5-x
5-x = 8-2x
0 = (8-5)-(2x-x)
0 = 3 - x
Plot this and find out where the graph meets the x-axis. Then put that x value into the formula:

y=5-x

You will have x and y.

To solve algebraically:

0 = 3 - x
x = 3
y=5-x
y=5-3
y=2

So x = 3 and y = 2, the coordinates where the graphs meet are (3,2).