Question

Which ordered pair (a, b) is a solution to the given system? {2a - 5b=1] {3a+5b=14}

Answer 1

a = 3, b = -1, it's easier to use elimination to solve for a since the coefficients for the two b's are the same number.

Answer 2

(3,-1)

Explanation:

`2a - 5b=1 \ and \ 3a+5b=14`

WE use elimination method to solve for a and b

`2a - 5b=1`

`3a+5b=14`

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`5a=15`

Divide by 5 on both sides

a = 3

Now plug in a=3 in first equation

`2a-5b=1`

`2(3)-5b=1`

`6-5b=1`

Subtract 6 on both sides

5b=-5 ( divide by 5 on both sides)

b = -1

Ordered pair is (3,-1)