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Vlada [557]
3 years ago
12

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:
Akimi4 [234]3 years ago
5 0
12q +3r =15    
3(4q +r) = 3*5  
Divide both sides by 3
4q +r = 5
Time for the second one:
-4q -4r = -44  
-4(q +r) = (-4)*11  
Divide both sides by -4
 q +r = 11
4q +r = 5
 q +r = 11
Subtract the second from first equation 
3q 0 = -6
3q = -6
q = -6/3 = -2
q = -2
q +r = 11
-2 +r =11
r = 11 +2 
r = 13 
q = -2
r = 13
Your answer is...
(-2,13)
erica [24]3 years ago
4 0

the answer is (-2, 13) hope it helps

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Set up a linear system and solve.
liubo4ka [24]

Answer:

The two integers are 23 and 12

Step-by-step explanation:

Let the two integers be f and g

Let f be the biggest and g the smallest integer

From the first statement, the sum of the two integers is 35 i.e

f + g = 35. (1)

From second statement, we were told that when the smaller integer is subtracted from twice the larger, the result is 34 i.e

2f — g = 34. (2)

Now we'll solve by elimination method as follows:

Add equation (2) and (1) together:

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+ f + g = 35

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Divide both side by the coefficient of f i.e 3

f = 69/3

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Substituting the value of f into equation(1)

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