Question

How many solutions can be found for the linear equation? 4(x + 5) - 5 = 8x + 18/ 2

Answer 1

Answer: The correct option is A.

Explanation:

The given equation is,

$4(x+5)-5=\frac{8x+18}{2}$

Multiply both sides by 2.

$2[4(x+5)-5]=\frac{8x+18}{2}$

$8(x+5)+2(-5)=8x+18$

$8x+40-10=8x+18$

$8x+30=8x+18$

Subtract both sides by 8x.

$30=18$

This statement is false for any value of x, therefore the system of equation have no solution and option A is correct.

Answer 2

Answer:

Option A is correct

No solutions

Step-by-step explanation:

The distributive property says that:-

$a \cdot (b+c) = a\cdot b+ a\cdot c$

Given the equation:

$4(x+5)-5 = \frac{8x+18}{2}$

Using distributive property we have;

$4x+20-5 = \frac{8x+18}{2}$

⇒$4x+15= \frac{8x+18}{2}$

Multiply both sides by 2 we have;

$8x+30 = 8x+18$

Subtract 8x from both sides we have;

$30=18$ 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