Question

construct 3 equations starting with x=3

Answer 1

I think it is but not sure if it is wrong so sorry
x=3
x-3=0
x+3=6

Answer 2

Answer:

Three equations starting from the given equation $x=3$ are as follows:

$x+7=10$                ...(i)

$3x+5=14$               ...(ii)

$\frac{x-2}{5}=\frac{1}{5}$                     ...(iii)

Step-by-step explanation:

We can construct various equations starting from a given equations by performing various arithmetic operations on both side of the sign of equality.

Here, we are given the equation $x=3$ to start with and form three different equations.

For the (i) equation, the starting point is:

$x=3$

Adding any real number, let's say 7, on both sides, we get:

$x+7=3+7$

or we can say:

$x+7=10$                ...(i)

For the (ii) equation, the starting point is again:

$x=3$

Now, multiplying both sides by 3, we get:

$3x=9$

Adding 5 both sides, we get:

$3x+5=9+5$

or we can say:

$3x+5=14$               ...(ii)

For the (iii) and final, equation, we start with again:

$x=3$

Subtracting 2 from both sides, we get:

$x-2=3-2$

Dividing both sides by 5, we get:

$\frac{x-2}{5}=\frac{1}{5}$                    ...(iii)

Thus, the three equations are:

$x+7=10$                ...(i)

$3x+5=14$              ...(ii)

$\frac{x-2}{5}=\frac{1}{5}$                     ...(iii)