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

What are the equations you would use?
What are the two numbers?

1 answer

Equation 1: x + y = 22 (where x and y represent the two numbers)

Equation 2: 3x + 5 = 35

To solve the system of equations, we can use the method of substitution or elimination.

From Equation 1, we know that y = 22 - x.

Substituting this value into Equation 2, we get:

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

Substituting the value of x back into Equation 1, we get:

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

So the two numbers are 10 and 12.