Solution of a Linear Equation

If $x=\frac{a}{(b+c)}, y=\frac{b}{(a+c)}$and $z=\frac{c}{(a+b)}$ then the value of $xy+yz+zx+2xyz$ is

Solve the following system of equations:

$11x+2y=76$

$7y-6x=-1$

Convert the following equations into simultaneous equation and solve:

$\sqrt{\frac{x}{y}}= 4, \frac{1}{x}+\frac{1}{y}= \frac{1}{xy}$

Find the point where the equation $3x+2y=12$ intersects x-axis.

Write one solution for the equation $2x-y+1=0$

Solve:

$5x-3y=8$

$3x+y=2$

In which quadrant, the positive solutions of the equation $ax+by+c=0$ lie?

Write the four solutions of the following equation:

$2y-3x-2=0$

When the son will be as old as his father today, the sum of their ages then will be $126$. When the father was as old as his son is today, the sum of their ages then was $38$. Find their present ages.

If $ab+bc+ca=0$, then find the value of $\frac{1}{a^2-bc}+\frac{1}{b^2-ca}+\frac{1}{c^2-ba}$

If $x=-4 ,y=-1$ is a solution of the equation $5 x-p y=1$, then find the value of $p$

If $3x+5y=9$ and $5x+3y=7$, then what is the value of $x+y$?

 If $11x+13y=R$, where $R$ is a perfect square number less than $100,$ then number of possible positive integral solutions of the equation is 

Find four different solution of the equation $y-3=2x$

If $3^x-3^{x-1}=6$, then $x^x$ is equal to

Find the value of $v$: $6-v=12$

Find the value of $x$: $20=8+4(x-2)$
 

If the point $\left(-3, 2\right)$ satisfies the equation $3y-ax=7$, Find the value of $a$.

Make a table for the equation $4x+5y=6$

If the point $\left(-3, 2\right)$ satisfies the equation $3y-ax=7$, find the value of $a$.