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ludmilkaskok [199]
3 years ago
5

Multi-step K is the midpoint of JL, JL=4x-2, and JK=7. Find x, KL, and JL

Mathematics
1 answer:
ddd [48]3 years ago
7 0
If K is midpoint of JL then JK = 0.5JL

JL = 4x - 2; JK = 7

The equation:
0.5(4x - 2) = 7
2x - 1 = 7      |add 1 to both sides
2x = 8        |divide both sides by 2
<u>x = 4</u>

<u>JL</u> = 4(4) - 2 = 16 - 2 = <u>14</u>

<u>KL</u> = JK =<u> 7</u>
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Given:
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Jenna and Heidi together have $60. Jenna has $9 more than twice Heidi’s amount. How much money does each have?
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Jenna has $43 and Heidi has $17.

Step-by-step explanation:

Total amount = $60

Let,

Amount of Jenna = x

Amount of Heidi = y

According to given statement;

x+y=60   Eqn 1

x=2y+9   Eqn 2

Putting value of Eqn 2 in Eqn 1;

(2y+9)+y=60\\2y+9+y=60\\3y=60-9\\3y=51

Dividing both sides by 3,

\frac{3y}{3}=\frac{51}{3}\\y=17\\

Putting y=17 in Eqn 2

x=2(17)+9\\x=34+9\\x=43

Jenna has $43 and Heidi has $17.

Keywords: linear equations, substitution method

Learn more about substitution method at:

  • brainly.com/question/10736268
  • brainly.com/question/10764770

#LearnwithBrainly

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Step-by-step explanation

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