wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

32x + 23y = 1313 ; 23x + 32y = 813

Open in App
Solution

32x+23y=13139x+4y6=403 9x+4y= 80 ...(i)23x+32y=8134x+9y6=253 4x+9y= 50 ...(ii)Here, we observe that the coefficients of x and y in the first equation are interchanged in the second equation.Adding these two equations, we get: 9x+4y= 80 4x+ 9y= 50 13x+13y=130 x+y=10 ...(iii)Subtracting eq (ii) from (i), we get: 9x+4y= 80 4x+9y= 50 - - - 5x-5y =30 ...(iv) x-y=6 From (iii) &(iv), we get: x+y=10 and x-y=6Adding (iii) and (iv), we get: x+y= 10 x-y= 6 2x = 16 x=8Substituting x=8 in eq (iii), we get: 8+y=10 y=2Hence, x=8 and y=2 is the solution of the given equations .

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Framing a Linear Equation
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon