Respuesta :
Answer: The correct option is A.
Explanation:
The given equation is,
[tex]4(x+5)-5=\frac{8x+18}{2}[/tex]
Multiply both sides by 2.
[tex]2[4(x+5)-5]=\frac{8x+18}{2}[/tex]
[tex]8(x+5)+2(-5)=8x+18[/tex]
[tex]8x+40-10=8x+18[/tex]
[tex]8x+30=8x+18[/tex]
Subtract both sides by 8x.
[tex]30=18[/tex]
This statement is false for any value of x, therefore the system of equation have no solution and option A is correct.
Answer:
Option A is correct
No solutions
Step-by-step explanation:
The distributive property says that:-
[tex]a \cdot (b+c) = a\cdot b+ a\cdot c[/tex]
Given the equation:
[tex]4(x+5)-5 = \frac{8x+18}{2}[/tex]
Using distributive property we have;
[tex]4x+20-5 = \frac{8x+18}{2}[/tex]
⇒[tex]4x+15= \frac{8x+18}{2}[/tex]
Multiply both sides by 2 we have;
[tex]8x+30 = 8x+18[/tex]
Subtract 8x from both sides we have;
[tex]30=18[/tex] False.
For any value of x, there is no solutions for the given system of equation
Therefore, No solution can be found for the linear equation
