Pair of Linear ...

Solve each pair of equation by using the substitution method.
$$0.2x+0.3{y}=1.3$$
$$0.4x+0.5{y}=2.3$$

Solve each pair of equation by using the substitution method.
$$2x+3y=9$$
$$3x+4y=5$$

Classes A and B have $$35$$ students each. If seven girls shift from class $$A$$ to class $$B$$, then the number of girls in the classes would interchange. If four girls shift from class $$B$$ to class $$A$$, then the number of girls in class $$A$$ would be twice the original number of girls in class $$B$$. What is the number of boys in Class $$A$$ and in Class $$B$$?

A number is $$\dfrac{2}5{}$$ times another number. If their sum is $$70$$, Find the numbers.

Solve the following pairs of linear equations by elimination method
$$3x+4y=25$$
$$5x-6y=-9$$

Sum of two numbers is $$407$$. The sum and difference of their LCM and HCF are $$925$$ and $$851$$ respectively. The difference of two numbers is

Solve the following pair of linear equations in two variables (by graph) :
$$2x+3y=5,\ x+6y=25$$

The liquids $$X$$ and $$Y$$ are mixed in the ratio of $$3:2$$ and the mixture is sold at $$Rs\;11$$ per liter at a profit of $$10\%$$. If the liquid $$X$$ costs $$Rs\;2$$ more per liter than $$Y$$, the cost of $$X$$ per liter is (in Rs.):

At a zoo, there were parrots and rabbits in the same enclouser. Sravanthi counted 30 heads and 100 legs altogether. how many animals of each type were in the enclouser

IF $$x - 2y = -1$$, $$y=-\dfrac { 1 }{ 2 } $$, then find the value of $$x$$