Simultaneous Linear Equation

In the group of $2x-3y=5$, find the value of $y$ when $x=4$.

The graph of $y=3x$ intersects y-axis at 

The graph of $3x+2y=6$ intersects $x$-axis at 

Find a number whose fifth part increased by $30$ is equal to its fourth part increased by $23$.

A triangle has two equal sides and each $4 \mathrm{m}$ less than three times the third side, and its perimeter is $55 \mathrm{m}$. If the third side of the triangle is $k \mathrm{m}$, then find the value $k$.

Solve the following equation to find the value of $t$.

$\frac{3t-2}{4}-\frac{2t+3}{3}=\frac{2}{3}-t$

Solve the following equation to find the value of $y$.

$\frac{3y+4}{2-6y}=\frac{-2}{5}$

Solve the following equation for the value of $x$.

$4x+8x=17x-9-1$

Solve the following equation: $5x-12=2x-6$

If the point on the graph of the linear equation $2x+5y=19,$ whose ordinate is $1\frac{1}{2}$ times its abscissa, is $\left(a,b\right)$, find $(a+b)$.

What should be added to $\frac{-7}{3}$ to get $\frac{3}{7}$?

Check whether the following equation is linear or not.(Yes/No)
$5x^2+6xy-4y^2=16$

$x=4, y=2$ is a solution of the linear equation

If $x=3k+2$ and $y=2k-1$ is a solution of the equation $4x-3y+1=0$, find the value of $k$.

Find the value of $k$ for which the point $(1,-2)$ lies on the graph of the linear equation $x-2 y+k=0.$

The standard form of a linear equation in two variables is

When any problem depends on different factors, then to solve these we need the concept of _____ equations and methods to solve it. 

Two places $A$ and $B$ are at $6 \mathrm{km}$ distance from each other. At the same time, two people start to run towards each other and meet in $45$ minutes. If they run in same direction, then they meet in $6$ hours. Find their speed.

In a city, a fixed charge and charge for a distance is included in the fare. If a passenger pays $₹105$ for $10 \mathrm{km}$ and $₹155$ for $15 \mathrm{km}$, then find the fixed charge and charge per $\mathrm{km}$.

The linear equations in two variables can be solved by