Question

100 points ! How many solutions can be found for the equation −4x − 11 = 2(x − 3x) + 13?

None

One

Two

Infinitely many

will give brainley if right

Answer 1

No Solution

Step-by-step explanation:

- 4 x - 11 = 2 (x - 3 x) + 13→ - 4 x - 11= 2 x - 2* 3 x + 13⇒⇒Using Distributive property of multiplication over subtraction which is ,

A * (B - C) = A*B - A*CBringing variables on one side and Constants on another side→ - 4 x - 2 x + 6 x = 13 +11→ - 6 x + 6 x = 240 =24which is not possible.

Hence this equation has no solution.

If you look at the equation in the wayL HS= - 4 x - 11A= - 4 x -11R H S = 2 *(x - 3 x) + 13B= 2 * (- 2 x) +13 = - 4 x + 13Both L HS and R H S, if looked individually represent lines in two dimensional plane, having equal slopes and different Y intercept.So, the two lines are parallel.Parallel lines do not intersect.

So, the equation has NO SOLUTION!!.

Answer 2

None

Explanation:

The lines do not intersect, so this equation has no solution.