MathematicsSolve the following pair of simultaneous equations.2x+3y=12 and 5x-3y=9.

Solve the following pair of simultaneous equations. $2 x + 3 y = 12$ and $5 x - 3 y = 9$ .

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A
$x = 1; y = 0$
B
$x = 3; y = 2$
C
$x = 7; y = 3$
D
$x = 2; y = 5$

Solution:

Given equations are

2 x + 3 y = 12 \dots (1)

5 x - 3 y = 9 \dots (2)

.
Add equations

(1)

and

(2)

to eliminate

y

,
⇒

2 x + 5 x + (3 y - 2 y) = 12 + 9

⇒

7 x = 21

⇒

x = 3

Substitute this value in equation

(1)

2 (3) + 3 y = 12

⇒

6 + 3 y = 12

⇒

3 y = 6

⇒

y = 2

Therefore, the solution is

x = 3, y = 2

.
Hence, the correct option is 2.

Solve the following pair of simultaneous equations. $2 x + 3 y = 12$ and $5 x - 3 y = 9$ .

Solution:

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