Question

solve the simultaneous equation
5x + 6y =37
2x + 3y =4

Answer 1

multiply 2x+3y+4 with 2

Answer 2

5x+6y=37
4x+6y=8

Answer 3

now subtract both of them u get

Answer 4

x=29

Answer 5

y=-18
x=29

2(5x+6y=37) ==10x+12y=74 ---------(A)
5(2x+3y=4)==10x+15y=20 ----------(B)

A-B = -3y = 54 = = y = -18

put y= -18 in eq B

x= 29

Answer 6

5x + 6y = 37
2x + 3y = 4 -->(-2)2x + 3y = 4
-----------
5x + 6y = 37
-4x - 6y = - 8 (result of multiplying by -2)
------------add
x = 29

now sub 29 in for x in either of the original equations...
2x + 3y = 4
2(29) + 3y = 4
58 + 3y = 4
3y = 4 - 58
3y = -54
y = -18

check...
5x + 6y = 37
5(29) + 6(-18) = 37
145 - 108 = 37
37 = 37 (correct)

ANSWER : x = 29, y = - 18 or (29,-18)