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vekshin1
3 years ago
14

2a(5-b)=3b+7 solve for b Step by step

Mathematics
1 answer:
Sidana [21]3 years ago
4 0
<span>2a(5-b)=3b+7

<em>[open bracket]</em>
10a - 2ab = 3b + 7

<em>[solve for b, so we need to move all terms with b to the left]</em>
<em>[-3b on both sides]</em>
10a - 2ab - 3b = 3b + 7 - 3b
10a - 2ab - 3b = 7

<em>[move all those without b to the right]</em>
<em>[-10a on both side]</em>
10a - 2ab- 3b - 10a = 7 - 10a
-2ab - 3b = 7 - 10a

<em>[divide by -1 through to change b to be positive]</em>
2ab + 3b = 10a - 7

<em>[take b out as the common factor]</em>
</span>b(2a + 3) = 10a - 7<span>

<em>[divide by (2a+3) through]</em>
b = (10a -7)/(2a+3)


</span>
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Answer:

(–3, –4)

Step-by-step explanation:

Given pair of linear equation

-4x+y = 8    

=> y = 8 + 4x _____(1)

x - 5y = 17  (2)

substituting value of y from equation 1 in equation 2 we have

x - 5(8 + 4x) = 17

=> x - 5*8 -5*4x = 17

=> x - 40 - 20x = 17

=> -40 - 19x = 17

=> -19x = 17+40 = 57

=> x = 57/-19 = -3

Thus, x = -3

y = 8 + 4x = 8 +4(-3) = 8 -12 = -4

Thus, y = -4

Hence, paired solution for given equation is (–3, –4).

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3 years ago
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QUESTION:-
avanturin [10]

Answer:

pic attached

Step-by-step explanation:

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How can you determine the coordinates of a figure after a reflection over either axis
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3 years ago
A building 64 ft high casts a 288-ft shadow. Sarah casts a 18-ft shadow. The triangle formed by the building and its shadow is s
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Answer:

The answer to your question is 4 ft

Step-by-step explanation:

Data

Building's shadow = 288 ft

Building's high = 64 ft

Sarah's shadow = 18 ft

Sarah's height = ?

Process

1.- Use proportions to solve this problem

                               \frac{Sarah's height}{Sarah's shadow} = \frac{building's height's}{building's shadow}

2.- Solve for Sarah's height

  Sarah's height = \frac{Sarah's shadow x building's height}{building shadow}

3.- Substitution

  Sarah's height = \frac{18 x 64}{288}

4.- Simplification

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5.- Result

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