The sum of integers x and y is 280. if x is divided by 7, the quotient is y. what is the value of x?

x = 245

Step-by-step explanation:

The sum of integers x and y is 280; x + y = 280

If x is divided by 7, the quotient is y; x/7 = y so x = 7y

Now you have 2 equations:

x + y = 280

x = 7y

Substitute x = 7y into x + y = 280

7y  + y = 280

8y = 280

y  = 35

x = 7(35)

x = 245

Answer

x = 245

Step-by-step explanation:

x + y = 280

x/7 = y                      Multiply both sides by 7

x/7 * 7 = 7*y

So x = 7y

Put 7y into the top equation.

7y + y = 280

8y = 280                   Divide both sides by 8

8y/8 = 280/8            

y = 35

x + y = 280

x + 35 = 280

x + 35 - 35 = 280 - 35

x = 245  

to plot points   for x just start at the origin (middle) and go to the left however many times it say(if the number is a positive) if the number is a negative then go right however many times it says if it is 0 go nowhere

now keep you pencil there and go up however many times it says on y(if it is positive) if it is negative then go down however many times it says. if it says 0 go nowhere.

you have just plotted a point! now when you finish plotting all of them connect them with a ruler

plot each point as (-3, 7), (0,4), (3,1), (8,-4)   in the parenthesis on the left of the comma is x and the right is y.

answer:

step-by-step explanation: