Solve the simultaneous equations below.
\[
\begin{array}{r}
y-7 x+18=0 \\
3 x+y-2=0
\end{array}
\]

Answer

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Answer

\(\boxed{x = 2, y = -4}\)

Steps

Step 1 ：Rewrite the first equation to isolate y: \(y = 7x - 18\)

Step 2 ：Substitute this expression for y into the second equation: \(3x + (7x - 18) - 2 = 0\)

Step 3 ：Simplify and solve for x: \(10x - 20 = 0\) => \(x = 2\)

Step 4 ：Substitute the value of x back into the expression for y: \(y = 7(2) - 18\) => \(y = -4\)

Step 5 ：\(\boxed{x = 2, y = -4}\)