Simplifying
10 + 5x = 5x + 10
Reorder the terms:
10 + 5x = 10 + 5x
Add '-10' to each side of the equation.
10 + -10 + 5x = 10 + -10 + 5x
Combine like terms: 10 + -10 = 0
0 + 5x = 10 + -10 + 5x
5x = 10 + -10 + 5x
Combine like terms: 10 + -10 = 0
5x = 0 + 5x
5x = 5x
Add '-5x' to each side of the equation.
5x + -5x = 5x + -5x
Combine like terms: 5x + -5x = 0
0 = 5x + -5x
Combine like terms: 5x + -5x = 0
0 = 0
Solving
0 = 0
Answer: 0 solutions
Answer:
1. -4
2. 6
3. -6
(i hope this is right •_•)
Step-by-step explanation:
<u>First table</u>
When the x coordinate is 0, that point is your y intercept. For the first one, your y intercept is -4.
<u>Second table</u>
For the second one, we need to do a bit of counting. We can see the x coordinates go before and after zero, but the table does not show us 0. So, we're going to have to calculate the slope. Bear with me here, I'm a little tired and this might be rambling ;-;
So, the formula for calculating slope is
. I'm going to use those first two points to get my slope. We're going to say the first point is point 1 and the second point is point 2 (genius, i know lol). So, let's substitute in the x and y values.

And simplify...

So, your slope is -1. We can use that. We just have to count down.
If the x is -2, the y is 8. If the x is -1, the y is 7. And if the x is 0....(drumroll please) the y is 6! So, your y intercept is 6.
<u>Third table</u>
Now, this table isn't very nice either and doesn't have an x as 0 for us. Hmpf. But we can still do what we did above. I'll just skip the explanation and you can observe my steps.



Let's count down....
If x = 3, y = -5
If x = 2, y = -5 1/3
If x = 1, y = -5 2/3
If x = 0, y = -6
Answer:
2x + y = 3.75
3x + 2y = 6
Step-by-step explanation:
x = cost of 1 hot dog
y = cost of 1 drink
Neveah: 2x + y = 3.75
Jason: 3x + 2y = 6