Question

Please help! Medal and fan reward

Answer 1

take y term to left hand side for second equation

Answer 2

\(\large\tt \begin{align} \color{black}{-6x-4y=10\hspace{1.5em}\\~\\
x+2y=9\hspace{1.5em}\\~\\
}\end{align}\)
see ih that makes sense first

Answer 3

then we need to make any one coefficient same of any variable and eliminate them

Answer 4

\(\large\tt \begin{align} \color{black}{-6x-4y=10-------(1)\hspace{1.5em}\\~\\
x+2y=9--------------(2)\hspace{1.5em}\\~\\
\normalsize \text{multplying eqn 2 by 2}\hspace{1.5em}\\~\\
2x+4y=18--------------(2)\hspace{1.5em}\\~\\
\normalsize \text{now adding eqn 1 and eqn 2}\hspace{1.5em}\\~\\
-6x-4y=10-------(1)\hspace{1.5em}\\~\\

2x+4y=18--------------(2)\hspace{1.5em}\\~\\~\\~\\
-6x-4y+2x+4y=10+18\hspace{1.5em}\\~\\
-4x=28\hspace{1.5em}\\~\\
x=-\dfrac{28}{4}\hspace{1.5em}\\~\\
x=-7\hspace{1.5em}\\~\\
}\end{align}\)

Answer 5

put \(x=-7\) in eqn (2)

Answer 6

\(\large\tt \begin{align} \color{black}{
x+2y=9--------------(2)\hspace{1.5em}\\~\\
-7+2y=9\hspace{1.5em}\\~\\
+2y=9+7\hspace{1.5em}\\~\\
2y=16\hspace{1.5em}\\~\\
y=16/2\hspace{1.5em}\\~\\
y=8\hspace{1.5em}\\~\\




}\end{align}\)

Answer 7

see every line and step carefully