Question:
If the ordered pairs \((2x-3,-5)\) and \((x,y-1)\) are equal, then find the value of \(x\) and \(y\).
If the ordered pairs \((2x-3,-5)\) and \((x,y-1)\) are equal, then find the value of \(x\) and \(y\).
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Equal ordered pairs mean the first entries are equal and the second entries are equal.
Updated On: Sep 23, 2026
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Solution and Explanation
Step 1: Key Formula or Approach:
Two ordered pairs \((a,b)\) and \((c,d)\) are equal only when \(a=c\) and \(b=d\) — both coordinates must match separately.
Step 2: Matching the first coordinates:
\[ 2x-3 = x \implies x = 3 \]
Step 3: Matching the second coordinates:
\[ -5 = y-1 \implies y = -4 \]
Final Answer:
\(x=3\) and \(y=-4\). \[ \boxed{x=3,\ y=-4} \]
Two ordered pairs \((a,b)\) and \((c,d)\) are equal only when \(a=c\) and \(b=d\) — both coordinates must match separately.
Step 2: Matching the first coordinates:
\[ 2x-3 = x \implies x = 3 \]
Step 3: Matching the second coordinates:
\[ -5 = y-1 \implies y = -4 \]
Final Answer:
\(x=3\) and \(y=-4\). \[ \boxed{x=3,\ y=-4} \]
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