Question

Solve the system, or show that it has no solution. (If there is no solution, enter NO SOLUTION. If there are an infinite number of solutions, enter the general solution in terms of x, where x is any real number.) 6x + 4y = 169x + 6y = 24

Answer 1

Given:

The equation is

`\begin{gathered} 6x+4y=16 \\ \\ 9x+6y=24 \end{gathered}`

Find-:

The solution of the equation

Explanation-:

The first equation is

`\begin{gathered} 6x+4y=16 \\ \\ 2(3x+2y)=16 \\ \\ 3x+2y=(16)/(2) \\ \\ 3x+2y=8 \end{gathered}`

The second equation is

`\begin{gathered} 9x+6y=24 \\ \\ 3(3x+2y)=24 \\ \\ 3x+2y=(24)/(3) \\ \\ 3x+2y=8 \\ \end{gathered}`

Both equations are the same.

For slove, the two unknown variables need two equations.

So,

There is NO SOLUTION