Tutor profile: Sachini M.

$$Find x$$ $$2x + 4 = 6x + 1$$

$$2x + 4 = 6x + 1 $$ $$4-1 = 6x-2x$$ $$3 = 4x$$ $$\frac{3}{4} = x$$

Add following fractions: $$\frac{1}{2} + \frac{3}{4}$$

$$=\frac{(2*(1)) + 3}{4}$$ $$=\frac{2+3}{4}$$ $$=\frac{5}{4}$$ $$=1\frac{1}{4}$$

Find x and y $$2x + 3y = 5$$ $$x + 2y = 3$$

$$2x + 3y = 5\rightarrow(1)$$ $$ x + 2y = 3\rightarrow (2)$$ multiply eq.(2) by 2 $$2x + 4y = 6\rightarrow(3)$$ substract eq.(1) by eq.(3) $$2x +4y - (2x + 3y) = 6-5$$ $$2x + 4y - 2x - 3y = 1$$ $$ 4y - 3y = 1$$ $$ y = 1 $$ substitute the value of y into eq.(1) $$2x + 3(1) = 5$$ $$2x = 5-3$$ $$ x = 2/2$$ $$ x = 1$$