Pair of Linear ...

The pair of linear equations $$x+y=3, 2x+5y=12$$ has a unique solution $$x=x_1, y=y_1$$ then value of $$x_1$$ is?

Three chairs and two tables cost Rs1,850. Five chairs and three tables cost Rs 2,850. Then the total cost of one chair and one table is

If $$2x - 3y = 7$$ and $$(a + b) x - (a + b - 3) y = 4a +b$$ have infinite solutions then $$(a,b) =$$

On comparing the ratios $$\frac {a_1}{a_2}, \frac {b_1}{b_2}$$ and $$\frac {c_1}{c_2}$$ find out whether the following pair of linear equations are consistent or inconsistent.
$$x - 3y = 4 ; 3x + 2y = 1$$

The graphic representation of the pair of equations $$2x + 4y - 15 = 0$$ and $$x + 2y - 4 = 0$$ gives a pair of

For what value of $$k$$, do the equations $$3x - y + 8 = 0$$ and $$6x - ky = - 16$$ represent coincident lines?

$$5$$ pencils and $$7$$ pens together costs Rs. $$50$$ whereas $$7$$ pencils and $$5$$ pens together costs Rs. $$46$$. Thus the cost of one pencil and one pen respectively is:

Graphically, the pair of equations $$6x - 3y + 10 = 0, 2x - y + 9 = 0$$ represents two lines which are

On comparing the ratios $$\dfrac {a_1}{a_2}, \dfrac {b_1}{b_2}$$ and $$\dfrac {c_1}{c_2}$$ find out whether the following pair of linear equations are consistent or inconsistent.
$$x - 2y = 3 ; 3x - 6y = 1$$

The equations $$x-y=0.9$$ and $$\displaystyle \frac {11}{x+y}=2$$ have the solution