8

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Solve simultaneously the equations 6p - 4r = 14 and p-2r = 5.

p = ...

فن

199110

p = 1 and r = - 2

Step-by-step explanation:

Given the 2 equations

6p - 4r = 14 → (1)

p - 2r = 5 → (2)

Multiplying (2) by - 6 and adding to (1) will eliminate the term in p

- 6p + 12r = - 30 → (3)

Add (1) and (3) term by term to eliminate p

8r = - 16 (divide both sides by 8)

r = - 2

Substitute r = - 2 into either of the 2 equations and solve for p

Substituting into (2)

p - 2 ( - 2) = 5

p + 4 = 5 (subtract 4 from both sides)

p = 1