The first number is 7 greater than a second number. Twice the first number is 4 more than three times the second. Find the two numbers.

Step-by-step explanation and

Setting up a system of equations would be the easiest method for this question. The first number will be x. The second number will be y. According to the question:

x+1=y

2x-4=5y

Since the first equation is already solved for y, you can plug the whole first equation in for y in the second equation, then solve for x.

2x-4=5(x+1) Distribute the 5

2x-4=5x+5 Subtract 5x from 2x

-3x-4=5 Subtract -4 from 5 (add 4 to 5)

-3x=9 Divide to get the x by itself

-3=x

Now that you have x solved for, you can plug it into the first equation (or second, if you prefer) to solve for y.

x+1=y

-3+1=y

-2=y

answer: the price of one pound cabbage = $ 0.8

the point (10,8) represents that the cost of 10 pounds cabbage is $ 8

step-by-step explanation:

since, here is a proportional relation between the number of pounds of cabbage (x) and the price in dollars (y).

therefore, we can write,

⇒ y = k x

where k is the constant of proportionality.

now, point (5,4) is in the line.

thus, it will satisfies the above equation of line.

⇒ 4 = 5 k

⇒ k = 0.8

thus, the equation of the line is,

y = 0.8 x

a) for x = 1,

y = 0.8

therefore, the cost of one pound of cabbage is 0.8 dollars.

b) in the below graph (10,8) represents that the cost of 10 pounds of cabbage is 8 dollars.

13

step-by-step explanation:

divide the cost of the total of sodas you bought by the cost of one soda, for example:

$24.57 divided by $1.89 is 13 which means you bought 13 sodas