Question

2x-3y=9;3x+y=13 solve equation by substitute method​

Answer 1

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

Answer 2

Answer:

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Step-by-step explanation:

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