Question

How many solutions does this system of linear equations have? Explain. 3y + 6x = 12 8x + 4y = 16

Answer 1

first equation : 3y + 6×=12

second equation : 4y + 8x = 16

Explanation:

first equation

3y + 6× = 12

now take the common ,

3( y + 2x ) = 12

so, y + 2x = 4

second equation

4y + 8x = 16

4 ( y + 2x ) = 16

so, y + 2x = 4

two lines with same equation have infinitely many solution . these two equations are the same so there are infinitely many solution .