What is a and b for the system 2a-5b=16 and a+7b=-13

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justaguide | College Teacher | (Level 2) Distinguished Educator

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We have to solve the system of equations:

2a - 5b = 16 ...(1)

a + 7b = -13 ...(2)

(2)

=> a + 7b = -13

=> a = -13 - 7b

substitute in (1)

=> 2*(-13 - 7b) - 5b = 16

=> -26 - 14b - 5b = 16

=> -19b = 42

=> b = -42/19

a = -13 - 7*b

=> -13 + 7*(42/19)

=> a = 47/19

The required values are a = 47/19 and b = -42/19

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