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Arisa [49]
3 years ago
12

Which properties justify the steps taken to solve the system? {2a 7b=03a−5b=31 Drag the answers into the boxes to match each ste

p. 10a 35b=0; 21a−35b=217 ​31a = 217 a = 7 2(7) 7b=0 14 7b = 0 7b=−14 b=−2.
Mathematics
1 answer:
uysha [10]3 years ago
4 0

The values of a and b are 7 and 2.

<h2>Linear system</h2>

It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.

Given

       2a + 7b =0 .....1

and 3a - 5b = 31 .....2

<h3>To find </h3>

The solution of a and b.

<h3>How to find the solution of a and b?</h3>

Equation (1) x 5  and equation (2) x 7, we get

10a + 35b = 0 and 21a - 35b = 271

Add the equation, we have

31a = 271

Divide both sides by 31

a = 7

Put value of a in equation 1

2x7 + 7b = 0

Subtract 14 from both sides

2b = -14

divide both sides by 2

b = -2

The values of a and b are 7 and 2.

More about the linear system link is given below.

brainly.com/question/20379472

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Katarina [22]

Answer:

time = distance / rate

time = 296 miles / 37 mile per hour

time = 8 hours

Step-by-step explanation:

4 0
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A
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Answer:

see explanation

Step-by-step explanation:

Complementary angles sum to 90°, thus

∠A ∠B = 90 ← substitute values

5x - 27 + 4x - 27 = 90, that is

9x - 54 = 90 ( add 54 to both sides )

9x = 144 ( divide both sides by 9 )

x = 16

Hence

∠A = 5x - 27 = (5 × 16) - 27 = 80 - 27 = 53°

∠B = 4x - 27 = (4 × 16) - 27 = 64 - 27 = 37°

4 0
3 years ago
In a school, the ratio of musicians to athletes is 3 : 1. The number of musicians is how many times the number of athletes?  ANS
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Answer:

The number of musicians in the school is 3 times the number of athletes

Step-by-step explanation:


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What's the value of x? 40000mg =10x g
dybincka [34]

The value of x is 4. So 40000 mg= 40 g.

Step-by-step explanation:

      The given is 40000mg = 10x g

Step:1

      Take given equation as equation (1)

                     40000 mg= 10x g.................(1)

      where, X is known value.

Step:2

      Standard value for mg to g for the purpose of conversion of units,

                      1 milligram = 0.001 gram   (or)

                      1 gram = 1000 milligram

Step:3

      From the standard data values,

                    = 40000 mg

      it converted mg to g by dividing 1000

                    = \frac{40000}{1000} g

                    = 40 g.......................(2)

Step:4

       From the Equations (1) and (2),

                 40=10x

                  x=4

Result:

       The value of x is 4. So, 40000mg = 40 g.

7 0
3 years ago
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