I believe it’s 27 if it’s not right let me know but I believe that’s the correct answer! :D
In algebra it is fully possible for x to equal to zero. After you have 2x, just divide both sides by two, so it would be 2 divided by 0 and than you would have x=0 and that would be your final answer.
2x + 1 = 4x +1
-2x +1 = 1
-2x = 0
divide by -2
x=0
Answer:
I would change 2x+4y=24 into x=12–2y
To do that, divide both sides by 2 and then subtract 2y on each side.
After that, substitute for x. 3x+2y=19 would become 3(12–2y)+2y=19.
Then solve.
3(12–2y)+2y=19
36–6y+2y=19
-4y+36=19
-4y=-17
y=4.25
Then, substitute y in either equation.
Either this:
3x+2y=19
3x+2(4.25)=19
3x+8.5=19
3x=10.5
x=3.5
Or:
2x+4y=24
2x+4(4.25)=24
2x+17=24
2x=7
x=3.5
Or you could solve it in the equation you created in the beginning:
x=12–2y
x=12–2(4.25)
x=12–8.5
x=3.5
The coordinates where the lines intercept are (3.5, 4.25).
Sorry for the long answer!