Pair of Linear ...

Sum of two numbers is 97. If the larger number is divided by the smaller, the quotient is 7 and the remainder is 1. Find the numbers. 

Solve the following simultaneous equations :

A man starts his job with a certain monthly salary and a fixed increment every year. If his salary will be Rs. $$11000$$  after $$2$$  years and Rs. $$14000$$ after $$4$$ years of his service. What is his starting salary and what is the annual increment?

Solve graphically the simultaneous equations given below. Take the scale as $$1 \ \mathrm{cm} = 1$$ unit on both the axes.
$$ x - 2y - 4=0 $$
$$ 2x + y= 3 $$

Solve the given pair of equations by substitution method:
$$x\, +\, 5y\, =\, 18$$
$$3x\, +\, 2y\, =\, 41$$

Draw the graph of $$ 2x - y -1=0 $$ and $$ 2x + y= 9 $$ on the same graph. Use $$2\ \mathrm{ cm} = 1$$ unit on both axes.
Write down the co-ordinates of the point of intersection of the two lines.

Solve the following simultaneous equations.

Solve the given pair of equations by substitution method:

Solve the given pair of equations by substitution method:

Solve the given pair of equations by substitution method:
$$x\, -\, 4y\, =\, -8$$
$$x\, -\, 2y\, =\, 0$$