Question

7x-2y=16 11x+6y=32.3how to solve this math problem

Answer 1

We have the following:

`\begin{gathered} 7x-2y=16 \\ 11x+6y=32.3 \end{gathered}`

solving:

`\begin{gathered} 7x=16+2y\rightarrow x=(16+2y)/(7) \\ \text{ replacing} \\ 11\cdot((16+2y)/(7))+6y=32.3 \\ (176)/(7)+(22)/(7)y+6y=32.3 \\ 9.14y=7.16 \\ y=(7.16)/(9.14) \\ y=0.78 \end{gathered}`

now, for x:

`\begin{gathered} x=(16+2\cdot0.78)/(7) \\ x=(16+1.56)/(7)=(17.56)/(7) \\ x=2.5 \end{gathered}`

Therefore, the answer is x = 2.5 and y = 0.78