Question

2x-3y=9; 2x+y=13 Solve the simultaneous equation

Answer 1

2x-3y=9....(|)
2x+y=13....(||)
subtracting (|) from (||),we get
2x+y=13
-2x-3y=9
_______
4y=4
_______
y=1
substitute value of y in (||),we get
2x-1=13
2x=12
x=6
Answer:
x=6
y=1

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