Question

find x 2x+y=12&x-y=9

Answer 1

Hope it helps...........

X=7& y=-2

Answer 2

Answer:

x = 7

y = -2

Step-by-step explanation:

2x + y = 12 ....(i)

x - y = 9 .......(ii)

From equation (i)

2x + y = 12

⇒y = 12 - 2x

By substitution method, we will substitute the value of y in (ii).

x - y = 9

⇒ x - ( 12 - 2x ) = 9

⇒ x - 12 + 2x = 9

⇒ 3x - 12 = 9

⇒ 3x = 9 + 12

⇒ 3x = 21

⇒ x = $\dfrac{21}{3}$

⇒ x = 7

Now, substituting the value of x in (ii).

x - y = 9

⇒ 7 - y = 9

⇒ - y = 9 - 7

⇒ - y = 2

⇒ y = - 2

Hence, the value of x is 7 and y is -2.