Question

Solve the following equations and check the result:
1. 2x – 6 = 0
2. 7x – 2 = 8 - x
3. 8 – 2x = 5 – 4x
4. 4 + 3x = 2 – 2x
5. 2(x – 1) + 2(3x -1) = 0
6. 4(x-1) –(2x – 5) = 4
7. 2x – 2/3 = 3/4 – x
8. 3x + 2(x+2) = 10 – (2x – 5)
9. 6(3x + 2) – 5(6x – 1) = 2(x – 8) – 5(7x – 6) + 8x
10. 0.18(5x – 4) = 0.5x + 0.6
11. 2.4(3 – x) – 0.3(2x – 3) = 0
12. 0.5x – (0.6 – 0.2x) = 0.2 – 0.3x
13. The sum of two consecutive multiples of 4 is 60. Find the
number.
14. Ten added to thrice a whole number gives 40. Find the
number.
15. Four-fifths of a number is greater than three-fourths of a
number by 8. Find the number.

Answer 1

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Answer 2

Required Answer : -

Given ,

• If 3 is subtracted from the numerator of a fraction, the fraction is reduced to ⅔

Solution

3x - 2 y = 9 (i)

6x - 5y = 30 (ii)

let's solve the this problem with first equation = 3x - 2 y = 9 (i)

$3 \times - 2(15) = 153×−2$

$3 \times - 30 = 93×−30=9$

$3 \times = 9 + 303×=9+30$

$3 \times = 393×=39$

x = 13x=13

➠ hence , the numerator is 13 fraction

$\frac{x}{y}$

=

$\frac{13}{15}$