Question

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Answer 1

Answer:

Step-by-step explanation:

$\frac{5x - 2}{4}+\frac{1}{2}=\frac{3y+2}{2}$

Multiply the equation by 4

$4*\frac{5x - 2}{4}+4*\frac{1}{2}=4*\frac{3y+2}{2}$

5x - 2 + 2 = 2*(3y + 2)

5x +0 = 2*3y + 2*2

5x = 6y + 4

5x - 6y = 4 --------------------(I)

$\frac{7y+3}{3}=\frac{x}{2}+\frac{7}{3}$

Multiply the equation by 6

$6*\frac{7y+3}{3}=6*\frac{x}{2}+6*\frac{7}{3}$

2*(7y + 3) = 3x + 2*7

14y + 6 = 3x + 14

14y = 3x + 14 - 6

14y = 3x + 8

-3x + 14y = 8 ------------------------(II)

Multiply equation (I) by 3 and equation (II) by 5 and then add

(I)*3              15x - 18y = 12

(II)*5           -15x  + 70y = 40     {Now add}

                          52y = 52

                              y = 52/52

                            y = 1

Substitute y =1 in equation (I)

5x - 6*1 =  4

5x - 6 = 4

      5x = 4 +6

      5x = 10

         x = 10/5

x = 2