Ill give brainliest solve this problem using the elimination method x + y = 35 1x + 2y = 62

x = 8, y = 27

Step-by-step explanation:

Elimination means to eliminate or get rid of a variable so that you could solve for the other. In this case, we have the choice to eliminate x or y. Let's eliminate x first. So, we can leave the second equation as is, but modify the first equation.

-x - y = -35     ⃪⃪ as you can see, I multiplied the first equation by (-1)

x + 2y = 62    ⃪⃪ this equation is still the same

Now if we add both of these equations together, we get y = 27.

So now that we know y = 27, to find x, we'll just plug y back in to solve. In this case, we can pick one of the two equations to do so. The second equation is easier since it has no negatives like the first one, so:

x + 2(27) = 62

x + 54 = 62    ⃪⃪  take away 54 from both sides to find x

x = 8!

To be extra sure, you can do a check by using both variables to see if it makes sense with the original equation.

8 + 2(27) = 62? Yes!

Hope this helps!

8

Step-by-step explanation:

Multiply second equation by -1

Becomes

x + y = 35

-x - 2y = -62

Add to get rid of x

-y = -27

Divide both sides by -1 = y = 27

Put this into first equation

X + 27 =35 /-27

X= 8

Y= 27

X= 8