1. Use the distributive property:
[tex]5\cdot (1+2m)=5\cdot 1+5\cdot 2m=5+10m,[/tex]
[tex]\dfrac{1}{2}\cdot (8+20m)=\dfrac{1}{2}\cdot 8+\dfrac{1}{2}\cdot 20m=4+10m.[/tex]
Then
[tex]5+10m=4+10m.[/tex]
2. Separate terms with m in left side and without m in right side:
[tex]10m-10m=4-5,\\ \\0=-1.[/tex]
This expression is false for all values of x, then the equation doesn't have solutions.
Answer: no solution
Answer:
No solution
Step-by-step explanation:
There are three cases in a one variable equation of degree one,
Equation has one solution : if after solving it we get a solution,
Equation has infinitely many solution : if after solving the equation we get a true statement,
Equation has no solution : if after solving it we get a false statement.
Given equation,
[tex]5(1+2m) = \frac{1}{2}(8 + 20m)[/tex]
By distributive property,
5 + 10m = 4 + 10m
⇒ 5 = 4 ( FALSE )
Hence, the equation has no solution.
