the sum of four times a number and another number is 10. The difference of the two numbers is 35. What is the larger number? Also please explain how you got that answer

The two numbers are 9 and -26.

The larger number is 9.

Step-by-step explanation:

Let the two unknown numbers be x and y.

The sum of a four times a number x and another number y is 10. Hence:

And the difference between the two numbers is 35. So:

So, we have the system of equations:

From the second equation, we can add y to both sides:

Now, we can substitute this into the first equation:

Distribute:

Simplify:

Subtract 140 from both sides:

Divide both sides by 5:

So, the value of y is -26 .

Then it follows that the value of x is:

Substitute -26 for y:

So, our two numbers are 9 and -26.

The larger number is 9.

So, our answer is 9.

you divide them and then you get the answer i took this class this year

step-by-step explanation: