Question

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

Answer 1

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:

$4x+y=10$

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

$x-y=35$

So, we have the system of equations:

$\left\{ \begin{array} \ 4x+y=10 \\ x-y=35 \end{array}$

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

$x=y+35$

Now, we can substitute this into the first equation:

$4(y+35)+y=10$

Distribute:

$4y+140+y=10$

Simplify:

$5y+140=10$

Subtract 140 from both sides:

$5y=-130$

Divide both sides by 5:

$y=-26$

So, the value of y is -26 .

Then it follows that the value of x is:

$x=y+35$

Substitute -26 for y:

$x=-26+35=9$

So, our two numbers are 9 and -26.

The larger number is 9.

So, our answer is 9.

Answer 2

Answer:

Yup answers 9

Step-by-step explanation: just took the test