Question

a) 5x-7+2x=14
b) -4x+8-x=2x+2
c)9x-8=5x+20
d)10y-16=-5y+20y+14

Answer 1

$a) \\ \\ 5x -7 + 2x = 14 \\ \\ 7x - 7 = 14 \\ \\ 7x = 14 + 7 \\ \\ 7x = 21 \\ \\ \\ x = \dfrac{21}{7} \\ \\ \\ => x = 3$

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$b) \\ \\ -4x + 8 - x = 2x + 2 \\ \\ -5x + 8 = 2x + 2 \\ \\ -5x - 2x = 2 - 8 \\ \\ -7x = -6 (-1) \\ \\ 7x = 6 \\ \\ \\=> x = \dfrac{7}{6}$

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$c) \\ \\ 9x - 8 = 5x + 20 \\ \\ 9x - 5x = 20 + 8 \\ \\ 4x = 28 \\ \\ \\ x = \dfrac{28}{4} \\ \\ \\ x = 7$

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$d) \\ \\ 10y - 16 = -5y + 20y + 14 \\ \\ 10y + 5y - 20y = 14 + 16 \\ \\ 15y - 20y = 30 \\ \\ -5y = 30 (-1) \\ \\ 5y = -30 \\ \\ \\ y = -\dfrac{30}{5} \\ \\ \\ => y = -6$