Question

if x=1,y=-5/7,z=2/5 then check whether:x×(y+z)=x×y+x×z pls give ut with a full explanation​

Answer 1

Hence proved, x×(y+z) =x×y+x×z

Answer 2

Answer: This is a distributive property over addition problem.

Step-by-step explanation

first : substitute the variables.

1 ×($\frac{-5}{7}$ + $\frac{2}{5}$) = 1×$\frac{-5}{7}$ + 1× $\frac{2}{5}$

second: Solve the brackets  first in the L.H.S.Take LCM.

⇒1×($\frac{-25+14}{35}$ = $\frac{-5}{7}$ + $\frac{2}{5}$

⇒ 1 × $\frac{-11}{35}$ = $\frac{-25 + 14}{35}$

⇒ $\frac{-11}{35}$ = $\frac{-11}{35}$

Hence proved.