Question

Solve for x and y: 3x + 2y = 16 ; 7x + y = 19

Answer 1

Answer:

we take any no. as x and y .then solve it

Step-by-step explanation:

i)3x+2y=16

y=2   ,   x=4

3x+2*2

3x= 16-4

3x=12

x=3/12

x=4   ,   y=12

ii)7x+y=19

x=1

7*1+y= 19

y=19-7

y=12

hope it is helpfull please mark as brilliant .

Answer 2

Solution: x = 2, y = 5.

Step-by-step explanation:

The given equations are

3x + 2y = 16 ... ... (1)

7x + y = 19 ... ... (2)

We find the solution using Substitution Method.

From (2), we get

y = 19 - 7x ... ... (3)

Substituting y = 19 - 7x in (1), we get

3x + 2 (19 - 7x) = 16

⇒ 3x + 38 - 14x = 16

⇒ 3x - 14x = 16 - 38 [transposing 38 to the right hand side]

⇒ - 11x = - 22

⇒ x = 2 [dividing both sides by (- 11)]

Now putting x = 2 in (3), we get

y = 19 - 7 (2)

⇒ y = 19 - 14

⇒ y = 5

Thus the required solution is x = 2, y = 5.

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