Question

x+y=14 and x-y=4
by elimination method ​

Answer 1

Answer:

Given :

x + y = 14 and x - y = 4

Solution :

⇒ x + y = 14 ... (i)

⇒ x - y = 4 ... (ii)

From equation (i), we get

⇒ x = 14-y ... (iii)

Putting this value in equation (ii), we get

(14-y)- y = 4

⇒ 14 - 2y = 4

⇒ 10 = 2y

⇒ y = 10/2

⇒ y = 5 ... (iv)

Putting this in equation (iii), we get

=> x=9

Hence, x = 9 and y = 5.

Answer 2

Answer: x=9

               y=5

Step-by-step explanation:

*In the elimination method you either add or subtract the equations to get an equation in one variable.

*Atleast any one of the coefficient of any one unknown term should be equal in both equations. Or else you have to multiply the whole equation to make it equal.

*If both coefficients are equal, then you have to see the signs of them (+ or -)

Here we can try to eliminate y.

y has different signs in both equations.

REMEMBER: IF BOTH HAVE SAME SIGNS THEN YOU HAVE TO SUBTRACT

IF BOTH HAVE DIFFRENT SIGNS THEN YOU HAVE TO ADD

In this case, we can do both. But since we are focused on eliminating y, and y has different signs in both cases, we have to add both equation

x + y +x - y = 14 + 4

2x              = 18

2x /2               =18/2

                  = 9

(To eliminate multiplication 2 we have to insert division 2)

(If we add something in one side of the equation then we have to do same in the other side of the equal sign also.)

Substitute x=8 in 1st equation

x + y =14

8 + y =14

9+y-9 = 14 -9

      y=5

So, x=8, y=5

Hope it was understandable.

If my answer was helpful, please mark me as brainliest.