Question

In equation 3x + 2y = 8 Express Y in terms of X also check (.4 -2) lies on the line.

Answer 1

Answer:

Given equation: $3x + 2y = 8$

To express $y$ in terms of $x$ we must transpose all other values other than $y$ on the other side of the equation.

⇒ $3x + 2y = 8$

⇒ $2y = 8-3x$

⇒ $y = \frac{8-3x}{2}$

To check whether $(4,-2)$ lies on the line.

We can do that by putting $x = 4$ and $y = -2$  into the given equation

if $L.H.S = R.H.S$ then it lies on the line

⇒ $3(4) + 2(-2) = 8$

⇒ $12 - 4 = 8$

⇒ $8 = 8$

⇒ $L.H.S = R.H.S$

∴ The point $(4,-2)$ lies on the line $3x + 2y = 8$