Pair of Linear ...

If $$2^{2x - y} = 32$$ and $$2^{x + y} = 16$$ then $$x^{2} + y^{2}$$ is equal to

The system of equations $$3x - 4y = 12$$ and $$6x - 8y = 48$$ has

If $$6$$ kg of sugar and $$5$$ kg of tea together cost Rs. $$209$$ and $$4$$ kg of sugar and $$3$$ kg of tea together cost Rs. $$131$$, then the cost of $$1$$ kg sugar and $$1$$ kg tea are respectively

Without actually solving the simultaneous equations given below, decide whether simultaneous equations have unique solution, no solution or infinitely many solutions.

$$8y= x - 10; 2x = 3y + 7$$

Solve the following equations using Graphical method:

$$ 4x\, +\, y\, =\, 7;\quad 16x\, +\, ky\, =\, 28$$

$$4y = kx- 10; 3x = 2y + 5$$

$$kx\, -\, y\, +\, 3\, -\, k\, =\, 0;\quad 4x\, -\, ky\, +\, k\, =\, 0$$

$$\displaystyle \dfrac{x}{2} + \displaystyle \dfrac{y}{3} = 4; \displaystyle \dfrac{x}{4} +\displaystyle \frac{y}{6} = 2$$