Question

if 17 X + 23 Y equal to 40 and 23 x + 17 Y equal to 80 then X + Y equal to______​

Answer 1

Answer:

2.99

Step-by-step explanation:

17x+23y=40 ---eq1

23x+17y=80 ----eq2

form eq1

x=(40-23y)/17

form eq2

x=(80-17y)/23

(40-23y)/17=(80-17y)/23

by solving above

y= -1.833

form eq 1

x=(40-23(-1.833))/17

x=4.83288

now

X+Y=

4.83288+(-1.833)=2.99982

Answer 2

X+Y = 3

Step-by-step explanation:

Equation 1 : $17x+23y=40$

Equation 2 : $23x+17y=80$

Multiply equation 1 with 23 and equation 2 with 17

So, New equation 1 : 391x+529y = 920 --- A

New equation 2 : 391x+289y = 1360 -- B

Subtract B from A

391x+529y -391x-289y= 920 -1360

240y=−440

$y=\frac{-440}{240}$

Substitute the value of y in 1

$17x+\frac{-440}{240}(23)=40$

$x=\frac{29}{6}$

So, $x+y=\frac{29}{6}+\frac{-440}{240}=3$

Hence X+Y = 3

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