1 answer
(click or scroll down)
To rewrite the equation \( \frac{5}{2}x - 8 - 1 = 9 \) as two equations joined by "and," we first simplify the left side:
1. Combine the constants: \( -8 - 1 = -9 \).
2. So, the equation becomes: \( \frac{5}{2}x - 9 = 9 \).
Now we isolate \( x \):
1. Add 9 to both sides:
\[ \frac{5}{2}x = 18 \]
2. Multiply both sides by \( \frac{2}{5} \):
\[ x = \frac{36}{5} \]
Now we can express our original equation as two separate statements:
1. \( \frac{5}{2}x - 9 = 18 \)
2. \( x = \frac{36}{5} \)
Thus, we rewrite the original equation as:
\[
\left( \frac{5}{2}x - 9 = 18 \right) \text{ and } \left( x = \frac{36}{5} \right)
\]