Question

5x+2y=14 x+3y=8 elimination method²​

Answer 1

SOLUTION:-

Answer

• x=2
• y=2

Given

• 5x+2y=14
• x+3y=8

To Calculate

• Value of x and y

Explanation

• 5x+2y=14___________(1)
• x+3y=8____________(2)

Multiply eq2 by 5

• 5(x+3y=8)

= 5x + 15y= 40___________(3)

On subtracting eq 1 from 2

5x+2y = 14

5x+15y= 40

- - -

____________

-13y = -26

y= -26/-13

y= 2

putting y=2 in eq 1

• 5x+2y=14

= 5x +2×2=14

= 5x+4=14

= 5x= 14-4

= 5x = 10

= x= 10/5

= x= 2

Hence

• Value of x= 2
• y= 2

_______________________________