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$8x + 7y = 9$ $\newline$ $2x - y = 18$

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Solve equations involving like terms

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Q.

8x + 7y = 9

\newline

2x - y = 18

Use Substitution or Elimination: Let's use substitution or elimination. Elimination looks easier here. Multiply the second equation by $7$ to eliminate $y$ . $\newline$ $2x - y = 18$ becomes $14x - 7y = 126$ .
Multiply Second Equation: Now we have the system: $\newline$ $8x + 7y = 9$ $\newline$ $14x - 7y = 126$ $\newline$ Add the two equations together to eliminate $y$ . $\newline$ $(8x + 7y) + (14x - 7y) = 9 + 126$
Create New System: Combine like terms. $\newline$ $8x + 14x = 22x$ and $7y - 7y = 0$ , so we get $22x = 135$ . $\newline$ Oops, made a mistake, it should be $22x = 135$ .

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