Question

Solve both equations.

Answer 1

Equation 1:

Answer:

x = 1.22

Step-by-step explanation:

$\frac{5x-1}{8} -\frac{5-7x}{2} = \frac{3(6-x)}{6}$

$\frac{2(5x-1) - 8(5-7x)}{16} = \frac{3(6-x)}{6}$

$\frac{(10x-2) - (40-56x)}{16} = \frac{3(6-x)}{6}$

$\frac{(10x-2-40+56x)}{16} = \frac{3(6-x)}{6}$

$\frac{(66x-42)}{16} = \frac{3(6-x)}{6}$

$\frac{(66x-42)}{16} = \frac{(18-3x)}{6}$

$(66x-42) \times 6 = (18-3x) \times 16$

$(396x-252) = (288-48x)$

$(396x +48x) = (288+252)$

$444x = (540)$

$x = \frac{540}{444}$

x = 1.22

Equation 2:

Answer:

x = -13.97

Step-by-step explanation:

$\frac{x}{3} - \frac{7(x-2)}{9} = 4- \frac{2x-5}{6}$

$\frac{9x-3(7(x-2))}{27} = 4- \frac{2x-5}{6}$

$\frac{9x-3(7x-14))}{27} = 4- \frac{2x-5}{6}$

$\frac{9x-(21x-42))}{27} = 4- \frac{2x-5}{6}$

$\frac{9x-(21x-42)}{27} = \frac{24 - (2x-5)}{6}$

$\frac{-12x+42}{27} = \frac{-2x+29}{6}$

$(-12x+42) \times 6 = (-2x+29) \times 27$

$(-72x+252) = (-34x+783)$

$(252-783) = (-34x +72x)$

$(-531) = (38x)$

$x =\frac {-531}{38}$

x = -13.97