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strojnjashka [21]
3 years ago
5

6(2x-8)+3=15help me its multi-step equation

Mathematics
2 answers:
lubasha [3.4K]3 years ago
4 0
6(2x-8)+3=15
12x-48+3=15 Distribute the 6
12x-45=15 Add (-48) and (3)
12x=60 Add 45 to both sides
x=5 Divide both sides by 12
Vanyuwa [196]3 years ago
3 0
Distribute.
6 times 2x= 12x
6 times 8= 48
12x+48+3=15
12x+51=15
subtract 51 from both sides. 
12x=-36
divide by 12 on each side 
-3=x
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Equation for ( 6, 13) ( 7900, 5 )
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We have the following points through which the line passes:

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We find the slope of the line:

m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {5-13} {7900-6} = \frac {-8} {7894} = - \frac {4} {3947}

Thus, the equation of the line is of the form:

y = - \frac {4} {3947} x + b

We substitute one of the points and find b:

13 = - \frac {4} {3947} (6) + b\\13 = - \frac {24} {3947} + b\\13+ \frac {24} {3947} = b\\b = \frac {51335} {3947}

Finally, the equation is:

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Answer:

y = - \frac {4} {3947} x + \frac {51335} {3947}

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