Question

15(x - y) - 3(x - 9) + 5(x + 6) = 0

Answer 1

15(x-y)-3(x-9)+5(x+6)=0

15x-15y-3x+27+5x+30=0

15x-3x+5x-15y +27+30=0

12x+5x-15y+57=0

17x-15y=-57

17x=-57+15y

x=-57+15y/17 -------(1)

17x-15y=-57

-15y=-57-17x

y=-57-17x/-15

Answer 2

Correct Question: Solve the linear equation:

15(x - 4) - 3(x - 9) + 5(x + 6) = 0

Answer:

The solution of the linear equation 15(x - 4) - 3(x - 9) + 5(x + 6) = 0 is $\frac{3}{17}$.

Step-by-step explanation:

Consider the given linear equation as follows:

$15(x - 4) - 3(x - 9) + 5(x + 6) = 0$

Firstly, simplify the linear equation by removing the brackets as follows:

⇒ $15x - 15\times4 - 3x +3\times 9 + 5x +5\times 6 = 0$

⇒ $15x-60-3x+27+5x+30=0$

Adding the like terms as follows:

⇒ $(15x-3x+5x)+(-60+27+30)=0$

⇒ $17x-3=0$

Now, adding the number $3$ on both the sides as follows:

⇒ $17x-3+3=0+3$

⇒ $17x=3$

Now, dividing both the sides of the equation by the number $17$ as follows:

⇒ $\frac{17x}{17} =\frac{3}{17}$

⇒ $x=\frac{3}{17}$

Therefore, the solution of the equation $15(x - 4) - 3(x - 9) + 5(x + 6) = 0$ is $\frac{3}{17}$.

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