Question

the
Find the solution of equation
3x+7y= 10 and 2x +y=3
by
elimination method.​

Answer 1

Answer:

Solution (x,y) = (1,1)

Step-by-step explanation:

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3x+7y=10 ..............(1)

2x+y=3 .................(2)

Multiply equation (2) by 7.

hence,

14x+7y=21 ............(3)

Subtract equation (1) from (3).

hence,

11x=11

x=1

Substitute value of x in equation (2)

hence,

2(1)+y=3

2+y=3

y=3-2

y=1

Answer 2

Answer:

x=1

y=1

Step-by-step explanation:

EQUATIONS GIVEN,

3x+7y=10    (eq. 1)

2x+y = 3      (eq. 2)

NOW,

MULTIPLYING THE EQUATION 1 WITH 2,

AND

MULTIPLYING THE EQUATION 2 WITH 3,

WE GET,

[3x+7y=10]*2 = [6x+14y=20]

[2x+y=3]*3 = [ 6x+3y=9]

NOW,

SUBTRACTING THE EQUATION 1 WITH EQUATION 2,

WE GET,

[6x+14y=20]-[6x+3y=9]

6x-6x+14y-3y=20-9

11y = 11

y = 1

NOW,

FOR x

SUBSTITUTING THE VALUE FOR y IN THE EQUATION 2,

WE GET,

2x+y=3

2x+1=3

2x=2

x=1

SO,

y=1

x=1

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