Answer:
![\quad \frac{25x+2}{3}-21](https://tex.z-dn.net/?f=%5Cquad%20%5Cfrac%7B25x%2B2%7D%7B3%7D-21)
Step-by-step explanation:
![3(2x-7)+ 1/ 3 (7x+2)\\\\\mathrm{Expand}\:3\left(2x-7\right):\quad 6x-21\\=6x-21+\frac{1}{3}\left(7x+2\right)\\\\\mathrm{Expand}\:\frac{1}{3}\left(7x+2\right):\quad 7\times\frac{1}{3}x+2\times \frac{1}{3}\\\\=6x-21+7\times\frac{1}{3}x+2\times\frac{1}{3}\\\\\mathrm{Simplify}\:6x-21+7\times\frac{1}{3}x+2\times\frac{1}{3}:\\\\\quad \frac{25x+2}{3}-21](https://tex.z-dn.net/?f=3%282x-7%29%2B%201%2F%203%20%287x%2B2%29%5C%5C%5C%5C%5Cmathrm%7BExpand%7D%5C%3A3%5Cleft%282x-7%5Cright%29%3A%5Cquad%206x-21%5C%5C%3D6x-21%2B%5Cfrac%7B1%7D%7B3%7D%5Cleft%287x%2B2%5Cright%29%5C%5C%5C%5C%5Cmathrm%7BExpand%7D%5C%3A%5Cfrac%7B1%7D%7B3%7D%5Cleft%287x%2B2%5Cright%29%3A%5Cquad%207%5Ctimes%5Cfrac%7B1%7D%7B3%7Dx%2B2%5Ctimes%20%5Cfrac%7B1%7D%7B3%7D%5C%5C%5C%5C%3D6x-21%2B7%5Ctimes%5Cfrac%7B1%7D%7B3%7Dx%2B2%5Ctimes%5Cfrac%7B1%7D%7B3%7D%5C%5C%5C%5C%5Cmathrm%7BSimplify%7D%5C%3A6x-21%2B7%5Ctimes%5Cfrac%7B1%7D%7B3%7Dx%2B2%5Ctimes%5Cfrac%7B1%7D%7B3%7D%3A%5C%5C%5C%5C%5Cquad%20%5Cfrac%7B25x%2B2%7D%7B3%7D-21)
Answer:
0
Step-by-step explanation:
y = 6x + 6
y = 6x - 12
Because both equations are equal to y, we can set them equal to each other, resulting in
6x + 6 = 6x - 12
Subtract 6x from both sides to eliminate the x values
6 = -12
This is impossible, so there are no solutions.
Answer:
5 shirts
Step-by-step explanation:
Step one:
given data
Each shirt costs $15.00 including tax.
A one-time shipping fee of $3.25
The total cost of Jill's order is $78.25
Step two:
let the number of shirts be x
so
y=15x+3.25
for y= $78.25, let us find x
78.25=15x+3..25
collect like terms
75= 15x
divide both sides by 15
x=75/15
x=5
Answer:
G
Step-by-step explanation:
Some points to note
- "is" means equal
- "times" means multiplication
- "quotient" means division
- "sum" is addition
Now, let's look at the left side of the equation.
It is "x + 5"
This means the sum of the number x and 5, or the number x plus 5
It eliminates F and J
Now, let's look at right side of equation.
It is "2(7+x)"
"7+x" is in brackets, so this is the sum of 7 and x. Then it is multiplied by 2. Thus, we can say:
"2 times the sum of 7 and x"
From the choices G and H left, we select G to be correct.