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Grace [21]
2 years ago
13

Find the solution to the system. Write your solution as an ordered pair (x,y) with no spaces, no solution, or infinitely many. y

=4x and 3x+2y=55 *
Mathematics
2 answers:
Alex73 [517]2 years ago
7 0

Answer:

(5,20)

Step-by-step explanation:

Because 3x+2(4x)=55 is then 11x=55, then divide the both by 11 to get x=5

The substitute y=4(5) because of x the get y=20

photoshop1234 [79]2 years ago
5 0
(5,20)

3x + 2(4x) = 55
3x + 8x = 55
11x = 55 / 11
x = 5

4(5) = 20
y = 20
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3 years ago
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Given that 8 bolts and 6 nuts weigh 138grams and 3 bolts and 5 nuts weigh 71 grams. Find the weight of;(a)one bolt and one nut (
Viktor [21]

Answer:

(a) Weight of a bolt = 12 grms and weight of a nut is 7 gms. Weight of one bolt and one nut = 12 + 7 = 19 gms

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Step-by-step explanation:

This problem relates to solution of 2 unknowns using simultaneous equations.

Let B be the weight of a single bolt and N be the weight of a single nut

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3B + 5N = 71  (2)

To solve, we eliminate one of the unknowns by making its coefficients the same and subtracting one from the other

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Multiplying (2) by 6 ===>  18B + 30N = 426    (4)

(3) - (4) eliminates the N variables and yields

22B = 264   ==> B = 264/22 ==> B = 12

So the weight of a single bolt is 12 grams

We can find the weight of a single nut by substituting this value of B into any of the equations (1), (2), (3) or (4) and solving for N. Let's use equation (2)

3(12) + 5N = 71 ==>  36 + 5N = 71 ==> 5N = 71-36 = 35 ==>  N= 7

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11B + 11N = 138 + 71 = 209 which is the equation for the total weight of 11 bolts and 11 nuts

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1 year ago
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valentina_108 [34]
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