Question

solve each of the following and also check
your result in each case:
1.2x+5/3 = 3x-10
2.a-8/3 = a-3/2
3.7y+2/5 = 6y-5/11
4.x-2x+2-16/3x+5=3-7/2​

Answer 1

Answer:

1.2x+5/3 = 3x-10

1.2x - 3x = -10 - 5/3

18/5x = -30-5/3

18/5x = -35/5

x = -35/5 - 18/5

x = -53/5

x = 1.6 Answer

Hope its Right

Answer 2

$\huge\pink{\mid{\fbox{\underline{\underline{Answer}}}}\mid}$

Answer 1:-

$\frac{(2x+5)}{3} = 3x–10 \\\\ => 2x+ 5 = 3(3x–10) \\\\ => 2x+ 5 = 9x–30 \\\\ => 9x - 2x = 5+30 \\\\ => 7x = 35 \\ => x = \frac{35}{7} \\\\\large\bf \fbox{ x = 5}$

Answer 2:-

$\frac{(a-8)}{3} = \frac{(a-3)}{2} \\\\ => 2(a-8) = 3(a-3) \\\\ => 2a–16 = 3a–9 \\\\ => 3a - 2a = –16+9 \\\\ \large\bf\boxed {a = –7}$

Answer 3:-

$\frac{(7y+2)}{5} = \frac{(6y–5)}{11} \\\\ =>11(7y+2) = 5(6y-5) \\\\ => 77y+22 = 30y–25 \\\\ => 77y - 30y = –25–22 \\\\ => 47y = –47 \\\\ => y = \frac{-47}{47} \\\\ \large\bf\fbox{ y = –1}$

Answer 4:-

$x – 2x + 2 – \frac{16x}{3} + 5 = 3 – \frac{7x}{2} \\\\ => 7 – x – \frac{16x}{3} = 3 – \frac{7x}{2} \\\\ => 7 – x – 3 = \frac{16x}{3} – \frac{7x}{2} \\\\ => 4 – x = \frac{32x-21x}{6}\\\\ => 24 - 6x = 11x \\\\ => 6x+11x = 24 \\\\ => 17x = 24 \\\\ \large\bf\fbox{x = 24/17 }$

Answer 5:-

$\frac{1}{2x} + 7x – 6 = 7x + \frac{1}{4} \\\\ => \frac{1}{2x} = \frac{1}{4} + 6 \\\\ => \frac{1}{2x} = \frac{1+24}{4} \\\\ => \frac{1}{2x} = \frac{25}{4} \\\\ => x = \frac{25×2}{4} \\\\ \large \bf\boxed{ x = 12.5}$

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