Answer:
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!!.