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Alja [10]
3 years ago
11

Solve the system of linear equations using linear combination.

Mathematics
1 answer:
snow_lady [41]3 years ago
8 0

Answer:

a = 1, b = 7

Step-by-step explanation:

Given the 2 equations

3a + 6b = 45 → (1)

2a - 2b = - 12 → (2)

Multiply (2) by 3 and add to (1) to eliminate the term in b

6a - 6b = - 36 → (3)

Add (1) and (3) term by term

(3a + 6a) + (6b - 6b) = (45 - 36)

9a = 9 ( divide both sides by 9 )

a = 1

Substitute a = 1 in either (1) or (2) and solve for b

(1) → 3 + 6b = 45 ( subtract 3 from both sides )

6b = 42 ( divide both sides by 6 )

b = 7

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Nathan has three pieces of wood the first is 9.8 feet in length the second is 7.5 feet in length and the third is 12 feet in len
snow_tiger [21]
9.4 Ft for the first one

7.5 Ft for the second piece

12 Ft for the Third

he uses 5.2 Ft from the first piece of wood so 9.4 - 5.2= 4.6ft
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Nathan didnt use any of the 3rd piece of wood , so he still have 12 Feet of wood remaining so, 12+4.6+1.4 = 18 feet of wood left that he didnt use. 
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Marta_Voda [28]

Answer:

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Step-by-step explanation:

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2 years ago
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Solve the system of linear equations by substitution x+4y =37 y = -x + 16
pantera1 [17]
You plug -x+16 in for y in x+4y=37 to get x after you multiply x+4y=37 by -1.
-x-4(-x+16)=-37
-x+4x-64=-37
3x-64=-37
3x=27
x=9
Then you plug 9 into either equation to get y.
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y=-(9)+16
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3 years ago
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kondor19780726 [428]

The segment to draw is segment UT

Step-by-step explanation:

A line segment is a part of a line that is bounded by two two distinct  end points. In this case, segment UT is bounded by endpoints U and T. In the diagram, point R is not a segment but a point of intersection of segments BT and EU.

Learn More

Construction of a line segment: brainly.com/question/9716065

Keywords : proof, statement, reason, segments, reflexive property

#LearnwithBrainly

6 0
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