Solve the following two variable Linear equation: $3A–7B+10=0$ $B–2A–3=0$

Home » Solve the following two variable Linear equation:

Solve the following two variable Linear equation: $3A-7B+10=0$ $B-2A-3=0$

Solve the following two variable Linear equation: $3A-7B+10=0$ $B-2A-3=0$

The given equations are:

$3A-7B+10=0$ …………………………. (a)

$B-2A-3=0$ ……………………………….. (b)

From (b)

$B-2A-3=0$

$B=2A+3$ ……………………………… (c)

Now, substitute B in equation (a) we get,

⇒ $3A-7(2A+3)+10=0$

⇒ $3A-14A-21+10=0$

⇒ $-11A=11$

⇒ $A=-1$

Now, put the value of A in the equation (c) we get,

⇒ $B=2(-1)+3$

∴ $B=1$

Thus, the value of A and B is found to be $-1$ and $1$ respectively.

i

Sign up now and study all subjects for free