Question

Ex. (2) Solve : 3.r + 2y = 29; 5.x - y = 18
Solution : 3x + 2y = 29. . . (I) and 5x - y = 18 ... (II)
Let's solve the equations by eliminating 'y?. Fill suitably the boxes below.
Multiplying equation (II) by 2.
5x
x2 - yx = 18 x 2)
:: 100 - 2y = 67
Let's add equations (I) and (III)
3x + 2y = 29
B6
x
.. X =
5
Substituting r = 5 in equation (1)
3.7 + 2y = 29
:: 3 O + 2y = 29
+ 2y = 29
2y
= 29
.
.: y =
2y
(x, y) = ((
is the solution.
(2) Solo
15​

Answer 1

Step-by-step explanation:

3x + 2y = 29. . . (I) and

5x - y = 18 ... (II)

● Multiplying equation (II) by 2.

2(5x -y) = 18 × 2

10x - 2y = 36....(III)

● Let's add equations (I) and (III)

3x + 2y = 29

10x -2y = 36

13x = 65

x = 65/13

.. x = 5

● Substituting x = 5 in equation (1)

3(5) + 2y = 29

15 + 2y = 29

2y = 29 -15

2y = 14

y = 14/2

.: y = 7

(x, y) = (5,7)

is the solution.