Question

Solve simoltenous equations 2y=4x-18
2x=15+3y

Answer 1

Answer:

x = 3

y = -3

Step-by-step explanation:

first we arrange them in

-4x + 2y = - 18 ----(a)

2x - 3y = + 15 ------(b)

Multiply eq (a) by 2 and eq (b) by 4 and then add

2( -4x + 2y = - 18 )

4( 2x - 3y = 15 = 0)

-8x + 4y = - 36

8x - 12y = 60

Both equations have Same 8x. It is thus obvious that x should be eliminated first. We could eliminate x by simplying letting (a) + (b):

[ -8x + 4y = - 36 ]

[ 8x - 12y = + 60 ]

0 - 8y = + 24

y = 24 ÷ (-8)

y = - 3

Putting above value in eq (b)

2x - 3(-3) = 15

2x + 9 = 15

2x = 15 - 9

x = 6 ÷ 2

x = 3

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