Question

Solve the simultaneous equations 6 x + 5 y = 20 5 x + 2 y = 21

Answer 1

Step-by-step explanation:

6x+5y=20

6x=20-5y

x= 20-5y/6

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5x+2y=21

5 (20-5y/6)+2y=21

100-25y/6+2y=21

100-25y+12y/6=21

100-13y=126

100-126=13y

-26/13=y

y= -2

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x=20-5y/6

20-5 (-2)/6

20+10/6

30/6

x = 5

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Answer 2

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X = 5 and y = -2

solution:-

6x + 5y = 20.....i)

5x + 2y = 21......ii)

Multiplying equation i) by 2 and ii) by 5

12x + 10y = 40.....iii)

25x + 10y = 105.....iv)

subtracting equation iv) in iii)

12x + 10y = 40

-

25x + 10y = 105

-13 x. = -65

$x = \frac{65}{13}$

X = 2

X = 2 ✅

puting value of x = 2 in equation ii)

5x + 2y = 21

25 + 2y = 21

2y = 21-25

2y = -4

$y = \frac{ - 4}{2}$

y = -2

Y = -2 ✅

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