Question

6x-3 + 2x-1 = 10x -18
find X and AC​

Answer 1

#7: x = 7

#8: AC = 52

Explanation:

We know that part + part = whole.

Thus, AB + BC = AC

Using this fact, we can solve for x:

`6x-3+2x-1=10x-18\\8x-4=10x-18\\8x=10x-14\\-2x=-14\\x=7`

We can simply plug in x in 10x-18 to find the length of AC:

`10(7)-18=AC\\70-18=AC\\52=AC`

You can also check that AB + BC = AC by plugging in x for 6x -3 and 2x -1 and finding the sum of the two parts of the line:

`6(7)-3+2(7)-1=52\\42-3+14-1=52\\39+13=52\\52=52`