Math homework help

Question

Your friend is trying to see if you can guess the two numbers she secretly has written on her paper. Your friend tells you that 2 times the first number is 13 more than the second number. She also tells you that the sum of the two numbers is 62.

Answer 1

 Hi Stephanie M

My name is Brenda D

I tried sending a video as well but if you did not get it here is the information for you.

Your question where two numbers x + y =62 and 2x = y + 13 can be done quickly using Systems of Equations

x + y =62 will be the first equation

2x= y +13 is the second equation

We can first rewrite the second equation as 2x – y =13 then we will have both equations in the some form with the variables on one side of the equal sign and the numbers on the other side

So we have

x + y = 62

2x –y =13

With y being positive in one of the equations and negative in the other, we can combine the equations to quickly eliminate y and solve for x.

 x + y = 62

+2x –y =13

3x = 75 we can divide both sides by 3 to get x

 x = 25

Now that we have x we can substitute the value for x, 25, into the first equation to get y

25 + y = 62 we can subtract 25 from both sides to get y

y = 62- 25

y = 37

We can now check both numbers by substituting them into the original equation 2x = y + 13

2(25) = 37 + 13

50 = 50