Question

Find any four solutions of 2x -11 = 5y +7​

Answer 1

Step-by-step explanation:

Four solutions for 2x-11=5y+7

By rearranging,

2x=5y+7+11

$x=\frac{5y+7+11}{2}$

Taking y=0,

$=\frac{5(0)+7+11}{2} \\=\frac{0+7+11}{2}\\=\frac{18}{2} \\=9$

when y=0, x=9

Taking y=1

$x=\frac{5[1]+7+11}{2} \\x=\frac{5+7+11}{2} \\x=\frac{23}{2}$

when y=1, x=23/9

Taking y=-1

$x=\frac{5[-1]+7+11}{2}\\ x=\frac{-5+18}{2} \\x=\frac{13}{2}$

when y=-1, x=13/2

Taking y=2

$x=\frac{5[2]+7+11}{2} \\x=\frac{10+7+11}{2} \\x=\frac{28}{2} \\x=14$

when y=2, x=14