The sum of two numbers is 22. Three times one number increased by five is 35.(4 points)

a) What are the equations you would use?
and

b) What are the two numbers?

1 answer

a) The equations we would use are:

1) x + y = 22 (where x and y are the two numbers)

2) 3x + 5 = 35 (where x represents one of the numbers)

b) To solve the system of equations, we can start by rearranging equation 2 to solve for x:

3x = 35 - 5
3x = 30
x = 10

Now we can substitute the value of x into equation 1 to find y:

10 + y = 22
y = 22 - 10
y = 12

Therefore, the two numbers are 10 and 12.