Question

Find the solutions to the equation -5/2x+3/4x=-3\4

Answer 1

Simplify both sides of the equation

-5/2 x +3/4 x = -3/4

Combine like terms

(-5/2 x + 3/4 x )

-7/4 x = -3/4

-7/4 x = -3/4

Multiply both sides by 4/(-7)

(4/-7)*(-7/4 x ) = (4/-7 ) * ( -3/4 )

x = 3/7

Answer 2

$-\frac{5}{2}x+\frac{3}{4}x=-\frac{3}{4}\\\\-\frac{5\times2}{2\times2}x + \frac{3}{4}x=-\frac{3}{4}\\\\\frac{-10}{4}x+\frac{3}{4}x=-\frac{3}{4}\\\\\frac{-10+3}{4}x=-\frac{3}{4}\\\\-\frac{7}{4}x=-\frac{3}{4}\\\\-\frac{7}{4}x \times -4 =-\frac{3}{4} \times -4\\\\7x = 3\\\\\boxed{\bf{x =\frac{3}{7}}}$