Solve the simultaneous equations below using substitution.
\[
\begin{array}{r}
7 x-2 y=15 \\
y+6=2 x
\end{array}
\]

Answer

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Answer

$\boxed{(1, -4)}$

Steps

Step 1 ：From the second equation, we have $y = 2x - 6$

Step 2 ：Substitute this expression for $y$ into the first equation: $7x - 2(2x - 6) = 15$

Step 3 ：Simplify the equation: $7x - 4x + 12 = 15$

Step 4 ：Combine like terms: $3x = 3$

Step 5 ：Divide by 3: $x = 1$

Step 6 ：Substitute $x = 1$ back into the expression for $y$: $y = 2(1) - 6$

Step 7 ：Simplify: $y = -4$

Step 8 ：$\boxed{(1, -4)}$