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Oxana [17]
3 years ago
13

Please do it in substitution method. Thanks.​

Mathematics
1 answer:
alina1380 [7]3 years ago
5 0

Answer:  No solution

<u>Step-by-step explanation:</u>

x - 3y = 2   →     x = 3y + 2

2x - 6y = 6

2(3y + 2) - 6y = 6        <em>substituted x with 3y+2</em>

6y + 4 - 6y = 6            <em>distributed 2 into 3y+2</em>

        4        = 6           <em>simplified (6y - 6y = 0)</em>

4 = 6 is a FALSE statement so there is NO SOLUTION

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Which of these problem situations could best be modeled by the equation below? 52(18) + x = 1200 Debbie sold 52 boxes of fruit f
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a) Debbie sold 52 boxes of fruit for $18 each plus a bonus x, for selling the boxes quickly. Find x, the bonus if Debbie sold the fruit quickly and earned $1200.

Step-by-step explanation:

The model equation is given as:

52(18) + x = 1200

a) Debbie sold 52 boxes of fruit for $18 each plus a bonus x, for selling the boxes quickly. Find x, the bonus if Debbie sold the fruit quickly and earned $1200.

52($18) + x = $1200

52(18) + x = $1200

Option a is correct

b) Katrina earned $18 plus a weekly bonus x, for managing her money wisely each week for 52 weeks. Find x, if Katrina earned $1200.

x = weekly bonus, hence, we have the equation:

$18 + (x)52 = $1200

Option b is wrong

c) Marissa has $52 in her savings account. She earns $18 for each lawn she mows. Find x, the number of weeks she needs to mow lawns in order to have a total of $1200.

This is represented as:

$52 + $18(x) = $1200

Option c is wrong

d) Edward had a balance of $52 in the bank. He added x dollars to his account last month. This week he deposited another $18. Find x, the amount Edward deposited in the bank last month if his total savings is now $1200.

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Option d is wrong.

Therefore, the correct statement that modelled the equation is option a

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