Question

Solve the simultaneous equations.
x + 7y = 10; 3x – 2y = 7​

Answer 1

Answer:

x=3 and y=1

Step-by-step explanation:

:- x+7y=10

:- x=10-7y

put the value of x in 2nd equation.

:-3x-2y=7

:-3(10-7y) -2y=7

:-30-21y-2y=7

:-30-23y=7

:-30-7=23y

:-23=23y

:-y=23/23

:-y=1

put y=1 in equation 1st

:- x=10-7y

:-x=10-7×1

:-x=10-7

:-x=3

therefore, x=3 and y=1

ANSWER.....

Answer 2

Answer:

x + 7y = 10; .....(I)

3x – 2y = 7 .....(II)

Multiplying (I) with 3

3x + 21y = 30; .....(III)

3x – 2y = 7 .....(IV)

Subtracting (IV) from (III) we get

23y = 23

⇒y = 1

Putting the value of y in (IV) we get

3x – 2 = 7

⇒3x = 7 + 2 = 9

⇒3x = 9

⇒x = 3

Thus, (x, y) = (3, 1)