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otez555 [7]
3 years ago
6

Solve system of equations for x + y: 3x + 2y = -18 & 2x + 9y =-12

Mathematics
1 answer:
blondinia [14]3 years ago
3 0

Answer:

(- 6, 0 )

Step-by-step explanation:

Given the 2 equations

3x + 2y = - 18 → (1)

2x + 9y = - 12 → (2)

Multiplying (1) by 2 and (2) by - 3 and adding will eliminate the term in x, that is

6x + 4y = - 36 → (3)

- 6x - 27y = 36 → (4)

Add (3) and (4) term by term to eliminate x

- 23y = 0

y = 0

Substitute y = 0 into either of the 2 equations and evaluate for x

Substituting into (1)

3x + 0 = - 18

3x = - 18 ( divide both sides by 3 )

x = - 6

Solution is (- 6, 0 )

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Step-by-step explanation:

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The mistake: Naman moved +6 to the left and added it to the 2 located on the left side of the expression. You cannot do that, as it breaks the law of PEMDAS. On the other hand, Ada did the correct thing, which was to distribute 2 to all terms within the parenthesis (as one term in the parenthesis has a variable, and the other is a constant, meaning that they cannot be combined). This leads to Naman not doing the rest of the question correct.

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