Question

Find the solution for the equations: 3x + 4y = 65: 5x + 2y = 57

Answer 1

x = 7 & y = 11

Step-by-step explanation:

3x + 4y = 65....(i)

5x + 2y = 57....(ii)

Multiply (ii) by 2,

2(5x + 2y = 57)

=> 10x + 4y = 114...(iii)

Subtract (i) from (iii),

→

10x + 4y = 114

- 3x ± 4y = ± 65

=> 7x = 49

=> x = 49/7

=> x = 7

Put the value of x in eq. (i),

3x + 4y = 65

=> 3(7) + 4y = 65

=> 21 + 4y = 65

=> 4y = 65-21

=> 4y = 44

=> y = 44/4

=> y = 11

So,

The value of x = 7 & y = 11

hope it helps.

Answer 2

Answer:

So, y = 11

Then, x = (65-4y)/3 = (65-44)/3 = 21/3=7

x = 7

I Hope It Will Help You :)