Question

17X+23Y=40 and 23X+17Y=80​

Answer 1

Answer:

The values of x and y are 4.833 and 1.833 respectively.

Step-by-step explanation:

The equations are:

$17x+23y=40...(i)\\23x+17y=80...(ii)$

Solve the two equations simultaneously:

Multiply equation (i) by 17

$(17x+23y=40)\times17\\289xx+391y=680...(iii)$

Multiply equation (ii) by 23

$(23x+17y=80)\times23\\529x+391y=1840...(iv)$

Subtract (iii) and (iv) as follows:

$-240x=-1160\\x=4.833$

Use x = 4.833 in (ii) to determine y as follows:

$(23\times4.833)+17y=80\\y=1.833$

Thus, the values of x and y are 4.833 and 1.833 respectively.