If the ordered pairs (a+2,4) and (5, 2a+b) are equal then (a, b) is------.a.(2,-2)b.(5,1)c.(3,-2)d.(2,3)Clear my choice
Question
Solution
The ordered pairs (a+2,4) and (5, 2a+b) are equal. This means that the x-coordinates are equal and the y-coordinates are equal.
So, we can set up the following equations:
a + 2 = 5 4 = 2a + b
Solving the first equation for a, we get a = 5 - 2 = 3.
Substituting a = 3 into the second equation, we get 4 = 2*3 + b, which simplifies to 4 = 6 + b. Solving for b, we get b = 4 - 6 = -2.
So, the ordered pair (a, b) is (3, -2). The correct answer is c. (3,-2).
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