Answer:
y=8
Step-by-step explanation:
We need to find the answer to both halves of the line first. Since G is the midpoint, then we know that it is split equally into 2 halves. We set up the equation like this to find x.
4x+3=7x-12. We know these are equal to each other because the question says G is the midpoint and we know that 1/2+1/2=1, so that is why we put an equal sign in between.
Solve: First we can either add 12 or subtract 3 from both sides of the equation. I'm going to add 12 to both sides because we always want to avoid the negative numbers so it's easier for us. So after adding 12 on both sides, the 12 cancels out and we're left with 4x+15=7x. Now we subtract 4x on both sides and the 4 cancels out and we're doing this because we have to get x by itself because we're only solving for 1x. So after getting rid of the 4 we are left with 15=3x. Now the last step is to divide both sides by 3 to get x by itself. The 3 cancels out and we are left with x=5!
Now in order to solve for y, We have to plug in the x with 5.
(4(5)+3)+(7(5)-12)
Now we have to multiply 4 and 5, and 7 and 5.
We then get (20+3)+(35-12)
When we solve what's inside of the parentheses we get 23+23, and when we add them together, we finally get 46.
One more step! Since we know the line equals to 46, we now have to solve for y. The equation is 6y-2=46 Since FH is the entire line.
We add 2 on both sides to get rid of the 2 and we get 6y=48. We divide both sides of the equation by 6 and we get y=8! Man I'm exhausted haha
