Question

solve 2x+7y
= 39 ; 3x+5y= 31]
​

Answer 1

Answer:

x=2  ;  x=5

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Step-by-step explanation:

2x+7y = 39 -------------1)  ; 3x+5y= 31 -----------------2)

multiply equation 1) by 3 and equation 2) by 2,

6x+21y= 117 ------------3) ; 6x+10y= 62 ---------------4)

subtraction equation 3) and 4)​,

 [6x+21y= 117]   -   [6x+10y= 62]   =   [0x+11y= 55]

∴11y= 55

    y = 55/11

∵   y = 5

put in equation  1)

2x+(7*5) = 39

2x+35 = 39

2x = 39-35

2x = 4

x= 4/2

x = 2

∴x = 2     ;      y = 5