<span>10(6-5)-3(9-6) = 10 x 1 - 3 x 3 = 10 - 9 = 1</span>
Answer
Burger meal = $8 and Hot dog meal = $6
Step-by-step explanation:
Let's use "x" to represent burger meals and "y" to represent hot dog meals.
Garcia family:
3x + 4y = $48
Baker family:
6x + 2y = $60
We have to first compare both families' and then eliminate one of our common variables, either the "x" or "y".
3x + 4y = $48
6x + 2y = $60
Let's eliminate "x". To do this we can multiply "3x" by "-2" to get "-6x". This will cancel out "6x":
-2 (3x + 4y = $48) ...our new equation would be....
-6x - 8y = -$96
Now to add our two families' equations together...
-6x - 8y = -$96
+
6x + 2y = $60
=
- 6y = -$36
Divide both sides by "-6" to get "y" by itself.
y = $6
We now know the value of "y" <em>or </em>one hot dog meal. Next, we want to solve for "x", our variable for the hamburger meal... We will plug in our y value to help us...
3x + 4(6) = $48
3x + 24 = $48
We want to get our x by itself. First, we can subtract 24 from each side.
3x = $24
Then we will divided both sides by 3 to get x alone.
x = $8
To check our work we can plug in our values for both "x" and "y" to see if they add up to $48 and $60:
3(8) + 4(6) = $48
24 + 24 = $48
and...
6(8) + 2(6) = $60
48 + 12 = $60
The greatest common factor between any list of numbers is the biggest multiple that they all share.
For example, 5, 35 and 50 all share 5 as the biggest common factor, making 5 the greatest common factor.
Now that we have our example and definition out of the way, let's make out the factors.
12:
1 x 12
2 x 6
3 x 4
40:
1 x 40
2 x 20
4 x 10
5 x 8
60:
1 x 60
2 x 30
3 x 20
4 x 15
5 x 12
6 x 10
Now that we have our factors, let's look for the biggest number that they have in common.
They all share 4 as the biggest number.
Your GCF (Greatest Common Factor) is 4.
I hope this helps!
Yes because the y intercept would be a different value for the new equation unless it is zero