Question

Solve the equations :
5x + 2y = 16 and 7x - 4y = 2​

Answer 1

Answer:

x=2, y=3

Step-by-step explanation:

5x+2y=16______(1)

7x-4y=2______(2)

multiply (1) by 2 and add in (2)

we get 17x=34

= x=2

put value of x in (2) we get

14-4y=2

14-2=4y

12=4y

y=3

Answer 2

Answer:

x=2 , y=3

Step-by-step explanation:

Using elimination method

Multiplying the eq by first coefficient of the other eq

7 (5x + 2y = 16)

5 (7x - 4y = 2)

we get

35x + 14y = 112

35x - 20y = 10

subtracting the two equations

35x + 14y = 112

-(35x - 20y = 10)

=> 35x + 14y = 112

   -35x + 20y = -10

= 34y = 102

y= 102/34 = 3

therefore, y= 3

and putting value of y in eq 1

5x + 2y = 16

5x + 2x3 = 16

5x = 16 - 6

x = 10/5 = 2

therefore, x = 2, y= 3