Question

Hi would you be able to help me ignore my work

Answer 1

Given the system;

`\begin{gathered} 4x+6y=32.............equation1 \\ \\ 3x-6y=3..............equation2 \end{gathered}`

Add equation1 to equation2, we have;

`\begin{gathered} 4x+3x+6y-6y=32+3 \\ \\ 7x=35 \\ \\ (7x)/(7)=(35)/(7) \\ \\ x=5 \end{gathered}`

Substitute x = 5 in equation2;

`\begin{gathered} 3x-6y=3 \\ \\ 3(5)-6y=3 \\ \\ 15-6y=3 \\ \\ 6y=15-3 \\ \\ 6y=12 \\ \\ y=2 \end{gathered}`

ANSWER:

`x=5,y=2`