First things first, write out your equation without the substitution.
2x+ 2y= 10
Now, put in the substitution.
2x+ 2• 2= 10
Combine like terms.
2x+ 4= 10
Now that your equation it simplified, you need to reverse the problem and put everything on the other side.
2x+ 4= 10
- 4 - 4
2x = 6
2x=6
— —
2 2
X= 3
So the final answer is x=3
Answer:
The black tulle is the better buy
Step-by-step explanation:
You will need to find the unit rate for the tulle...in other words cost per 1 yard to see which is the better buy.
You also need to make sure they are in the same units. So, we will convert the 3 yards to feet....which will be 9 feet
5.63/9 = 0.62555 per foot
3.58/6 = 0.59666 per foot
Slope intercept form:
Y = mx + b
m = slope, b = y intercept
Given the slope of 4
Y = 4x + b
Plug in the point (3,8)
8 = 4(3) + b
8 = 12 + b, b = -4
Y intercept = -4
Solution: y = 4x - 4
Each hot dog is x, and costs $4. Each soda is y, and costs $3.
A.
4x + 3y = 33
B.
4x + 3y = 33
4 * 3 + 3y = 33
12 + 3y = 33
3y = 21
y = 7
7 bottles of soda.