Question

Solve: x+3y = 5

2x +7y =7​

Answer 1

Required Answer:-

Given information:

• x + 3y = 5
• 2x + 7y = 7

To find:

• The value of x and,
• The value of y.

Answer:

• The value of x is 14 and,
• The value of y is -3

Solution:

Given,

➡ x + 3y = 5 ........(i)

➡ 2x + 7y = 7 ......(ii)

From (i), x = 5 - 3y

Substituting the value of x in equation (ii), we get,

➡ 2(5 - 3y) + 7y = 7

➡ 10 - 6y + 7y = 7

➡ 10 + y = 7

➡ y = -3

➡ Hence, the value of y is -3.

Now,

x = 5 - 3y

= 5 - 3 × (-3)

= 5 - (-9)

= 5 + 9

= 14

➡ Hence, the value of x is 14.

Verification:

Let us verify our results.

When x = 14 and y = -3

x + 3y

= 14 + 3 × (-3)

= 14 - 9

= 5 which is our required answer.

Again, when x = 14 and y = -3

2x + 7y

= 2 × 14 + 7 × (-3)

= 28 + (-21)

= 28 - 21

= 7 which is also our required answer.

Hence, the values of x and y are 14 and -3 respectively. (Verified)

Answer 2

Answer:

Given:

• x + 3y = 5.

• 2x + 7y = 7.

To find:

• Find the value of x & y.

Solution:

=> x + 3y = 5 (i)

=> 2x + 7y = 7 (ii)

=> x = 5 - 3y (from i)

=> 2 ( 5 - 3y ) + 7y = 7. (Substituting x value in ii equation)

=> 10 - 6y + 7y = 7.

=> 10 + y = 7.

=> y = -3.

=> x = 5 - 3y.

=> x = 5 - 3 ( -3 ).

=> x = 5 - ( -9 ).

=> x = 5 + 9.

=> x = 14.

Step-by-step explanation:

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