Question

What is the solution to the system below? 5x+6y = 14 3x + 5y = 7

Answer 1

Given dystem of equations can be solved as,

`\begin{gathered} 5x+6y=14 \\ 3x+5y=7 \end{gathered}`

Multiplying first equation by 3 and second equation by 5.

`\begin{gathered} 15x+18y=42 \\ 15x+25y=35 \\ 15x+18y-15x-25y=42-35 \\ -7y=7 \\ y=-(7)/(7) \\ y=-1 \\ 3x+5y=7 \\ 3x+5(-1)=7 \\ 3x-5=7 \\ 3x=7+5 \\ 3x=12 \\ x=(12)/(3) \\ x=4 \end{gathered}`

So, the equation (x , y) is (4 , -1)