Question

solve this simultaneous equation 2x-3y=9 2x+y=13

Answer 1

2x = 9+3y
x = 9+3y/2
then putting the value of x in 2nd equation
2x+y = 13
2×9+3y/2 + y = 13
9+3y+y = 13
9+4y = 13
4y = 13 - 9
4y = 4
y = 4/4
y = 1
now in equation 2nd
2x + y = 13
now putting y=1
2x + 1 = 13
2x = 13 - 1
2x = 12
x = 12/2
x = 6

Answer 2

{Hello}

Solution,

2x - 3y = 9..........(1)Equation

2x + y = 13..........(2) Equation

(2) can be written as

Y = 13 - 2x.......(3) Equation

Substituting (3) in (1),

2x - 3(13-2x) = 9

.'. 2x - 39 + 6x = 9

.'. 8x -39 =9

.'. 8x = 9+ 39

.'. 8x = 48

.'. X = 48

—

8

.'. X = 6

Substituting x = 6 in (3) equation ,

Y = 13 - 2x

.'. Y = 13 - 2 × 6

.'. y = 13 - 12

.'. Y = 1

(X,y) = (6,1) is the solution of the given simultaneous equations..

Thank you