Multiple choice

Solve the equations using elimination method: $a -2b = 2$ and $3a -2b = 6$

  1. (2, -1)

  2. (2, 1)

  3. (2, 0)

  4. (-2, 1)
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Subtracting the first equation (a - 2b = 2) from the second (3a - 2b = 6) gives 2a = 4, so a = 2. Substituting a = 2 into the first equation: 2 - 2b = 2, so -2b = 0, b = 0. The solution is (2, 0).

AI explanation

Subtract the first equation, a - 2b = 2, from the second equation, 3a - 2b = 6, to eliminate b. This gives 2a = 4, so a = 2. Substituting a = 2 into the first equation yields 2 - 2b = 2, which simplifies to b = 0. The solution is (2, 0).

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