Equation 1:
Answer:
x = 1.22
Step-by-step explanation:
[tex]\frac{5x-1}{8} -\frac{5-7x}{2} = \frac{3(6-x)}{6}[/tex]
[tex]\frac{2(5x-1) - 8(5-7x)}{16} = \frac{3(6-x)}{6}[/tex]
[tex]\frac{(10x-2) - (40-56x)}{16} = \frac{3(6-x)}{6}[/tex]
[tex]\frac{(10x-2-40+56x)}{16} = \frac{3(6-x)}{6}[/tex]
[tex]\frac{(66x-42)}{16} = \frac{3(6-x)}{6}[/tex]
[tex]\frac{(66x-42)}{16} = \frac{(18-3x)}{6}[/tex]
[tex](66x-42) \times 6 = (18-3x) \times 16[/tex]
[tex](396x-252) = (288-48x)[/tex]
[tex](396x +48x) = (288+252)[/tex]
[tex]444x = (540)[/tex]
[tex]x = \frac{540}{444}[/tex]
x = 1.22
Equation 2:
Answer:
x = -13.97
Step-by-step explanation:
[tex]\frac{x}{3} - \frac{7(x-2)}{9} = 4- \frac{2x-5}{6}[/tex]
[tex]\frac{9x-3(7(x-2))}{27} = 4- \frac{2x-5}{6}[/tex]
[tex]\frac{9x-3(7x-14))}{27} = 4- \frac{2x-5}{6}[/tex]
[tex]\frac{9x-(21x-42))}{27} = 4- \frac{2x-5}{6}[/tex]
[tex]\frac{9x-(21x-42)}{27} = \frac{24 - (2x-5)}{6}[/tex]
[tex]\frac{-12x+42}{27} = \frac{-2x+29}{6}[/tex]
[tex](-12x+42) \times 6 = (-2x+29) \times 27[/tex]
[tex](-72x+252) = (-34x+783) [/tex]
[tex](252-783) = (-34x +72x) [/tex]
[tex](-531) = (38x) [/tex]
[tex]x =\frac {-531}{38}[/tex]
x = -13.97
