Let's start by writing a system of linear equations:
c -> cookies
cb -> candy bars
(You can use any abbreviations to your preference)
Abby:
4 cookies
3 candy bars
$10.25 per bag
The equation would be:
4c+ 3cb = $10.25
Marissa:
2 cookies
7 candy bars
$14.75 per bag
The equation would be:
2c + 7cb = $14.75
So our linear equation system would be:
<span>4c+ 3cb = $10.25
</span><span>2c + 7cb = $14.75
I would try to get rid of one variable so I can solve for the other variable. In this case, it is easier to get rid of c since I can multiply the second equations by 2. Then it would subtract the two equations.
(2c + 7cb = $14.75) 2 = 4c + 14 cb = $29.50
4c + 3cb = $10.25
- 4c+14 cb = $29.50 (4c would get canceled.)
---------------------------------
-11 cb = - $19.25 (Divide by -11 to solve for cb)
</span> --------- -------------
-11 -11
cb = $1.75
Now we know cb (candy bar) cost, we would substitute this value into cb into one of the equations. It doesn't matter which equation you put it in. I will substitute it in the first equations.
4c + 3 (1.75) = $10.25
4c + 5.25 = $10.25 (Multiply 3 by 1.75)
-5.25 -5.25 (Subtract 5.25 on both sides)
4c = 5 (Divide by 4 on both sides to get c)
---- ---
4 4
c= 1.25
Check the work:
4(1.25) + 3(1.75)
= $10.25
2(1.25) + 7(1.75)
= $14.75
Total cost:
cookies = $1.25
candy bars = $ 1.75
Hope this helps! :)
Answer:
x=6
Step-by-step explanation:
Step 1: Divide both sides by 17.
17x17=10217
x=6
Answer:
121 x 59 (Dimensions)
Step-by-step explanation:
6x + 6 = 360
Take away 6 from both sides
6x = 354
Divide both sides by 6
x = 59
The length is 2x + 3 because it says 3 more than double the width (lenght is x). You have 2 widths and 2 lengths. The two widths are both x (2x). The two lengths are both 2x + 3 (4x + 6). 2x + 4x + 6 = 6x + 6.
Now input 59 for x
2(59) + 3 = 121
x = 59
Check Your Answer
121 is just one length and 59 is just one width, so you have to multiply both sides by 2 because you have 2 widths and 2 lengths.
121 x 2 = 242
59 x 2 = 118
242 + 118 = 360
Answer:
x = -1
Step-by-step explanation:
1/2 (3x +4 ) = 1/2
1/2 x 3x + 1/2 x 4 = 1/2
1.5 x + 2 = 1/2
1.5x = 1/2 -2
1.5x = -1.5
1.5x /1.5 = -1.5/1.5
x = -1
Check Back
1/2 ( 3 x -1 + 4) =1/2
1/2 ( 1) =1/2
1/2 =1/2
1/2÷ 3/8=4/3. To divide one fraction by another, invert (turn upside-down) the second fraction, then multiply.
