Question

Q. Solve the following equations by elimination method.

1 )
$x + y = 4 \\ 2x + 3y = 3$
2 )
$3x + y = 5 \\ 2x + 3 = 1$
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Answer 1

1. x+y=4; (1)

2x+3y=3 (2)

Multiply eq.(1) by 2,

2x+2y=8 (3)

Subtracting eq(1) and eq(2),

2x+3y=3

2x+2y=8

- - -

y= -5

Substitute y=-5 in eq(1),

x+y=4

x-5=4

x=9