If \( a \) and \( b \) are two integers such that \( a - b = 5 \) and \( 3 - (-b) = -7 \), find: \( a + b \).
TRUE 😊 The correct answer is -15
FALSE 😢 Try again!
Solution Steps:
1. Solve the second equation for \( b \):
\( 3 - (-b) = -7 \) ⇒ \( 3 + b = -7 \) ⇒ \( b = -7 - 3 \) ⇒ \( b = -10 \)
2. Substitute \( b \) into the first equation:
\( a - (-10) = 5 \) ⇒ \( a + 10 = 5 \) ⇒ \( a = 5 - 10 \) ⇒ \( a = -5 \)
3. Calculate \( a + b \):
\( -5 + (-10) = -15 \)
1. Solve the second equation for \( b \):
\( 3 - (-b) = -7 \) ⇒ \( 3 + b = -7 \) ⇒ \( b = -7 - 3 \) ⇒ \( b = -10 \)
2. Substitute \( b \) into the first equation:
\( a - (-10) = 5 \) ⇒ \( a + 10 = 5 \) ⇒ \( a = 5 - 10 \) ⇒ \( a = -5 \)
3. Calculate \( a + b \):
\( -5 + (-10) = -15 \)
MR/Nasef.N
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