Sophia has three stickers for every two stickers that Ethan has.
If Sophia gives Ethan 16 of her stickers, then Ethan will have twice as many stickers as Sophia has.
How many stickers do Sophia and Ethan have all together?

40

Step-by-step explanation:

Let number of stickers Sophia has be "x" and number of stickers Ethan has be "y"

Now,

Sophia has 3 for every 2 ethan has, that means

3x = 2y

When sophia gives 16, she will have:

3x - 16

Ethan, after getting 16, will have:

2y + 16

This trade will make Ethan to have TWICE, so we can write:

2(3x-16) = 2y + 16

Now, the 1st equation can be written as:

3x = 2y

x = 2y/3

Now replacing this into 2nd, we solve for y:

So, x is:

Ethan and Sophia has:

24 + 16 = 40 stickers altogether

for the first question it would be the second answer for the second question it would be the third answer and for the third question it would be the first answer

step-by-step explanation:

solve systems of equations by graphing. a system of linear equations contains two or more equations e.g. y=0.5x+2 and y=x-2. the solution of such a system is the ordered pair that is a solution to both equations. to solve a system of linear equations graphically we graph both equations in the same coordinate system