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monitta
2 years ago
10

What is the solution to this system of linear equations? 12q + 3r = 15 –4q – 4r = –44 (–18, 29) (–2, 13) (8, –1) (15, –44)

Mathematics
2 answers:
beks73 [17]2 years ago
8 0

Answer:

(-2,13)

I believe this is the answer.

VMariaS [17]2 years ago
7 0

Answer:  The correct option is (B) (-2, 13).

Step-by-step explanation:  We are given to find the solution of the following system of equations :

12q+3r=15~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\-4q-4r=-44~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)

Multiplying equation (ii) by 3, we have

3(-4q-4r)=-44\times3\\\\\Rightarrow -12q-12r=-132~~~~~~~~~~~~~~~~~~~~~~~~(iii)

Adding equations (i) and (iii), we get

(12q+3r)+(-12q-12r)=15+(-132)\\\\\Rightarrow 3r-12r=15-132\\\\\Rightarrow -9r=-117\\\\\Rightarrow r=\dfrac{-117}{-9}\\\\\Rightarrow r=13.

From equation (ii), we get

-4q-4\times13=-44\\\\\Rightarrow -4q-52=-44\\\\\Rightarrow -4q=-44+52\\\\\Rightarrow -4q=8\\\\\Rightarrow q=\dfrac{8}{-4}\\\\\Rightarrow q=-2.

Thus, the required solution is (q, r) = (-2, 13).

Option (B) is CORRECT.

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