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lina2011 [118]
3 years ago
10

Given the equation 4x + 7 = 3(2x − 5), solve for the variable. Explain each step and justify your process.

Mathematics
1 answer:
MariettaO [177]3 years ago
5 0
Part 1: 4x + 7 = 3(2x - 5) 

4x+7=6x-15 

7=6x-15-4x

 

7=2x-15 

7+15=2x 

22=2x 

22=2x / 2 

x=11 

Part 2: Sam is not correct because <span>he messed up the second step. He added 2x on both sides to get 7x, instead he should have subtracted. </span>

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Step-by-step explanation:

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A house wife forgot her bank'Atm pin'which is a four digit number,but luckily she remembered some hints on how to recall this 'p
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Step-by-step explanation:

If the first digit is half of the second, that means the second is 2 times the first

So let's solve this algebraically...

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6 0
3 years ago
Jeremiah bought three gallons of ice cream and four containers of strawberries for $19.50. Gary bought five gallons of ice cream
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Answer:

Cost of 1 gallon of ice cream =\$3.5

Cost of 1 container of strawberries =\$2.25

Step-by-step explanation:

Let cost of 1 gallon ice cream =\$x

Let cost of 1 container of strawberries =\$y

<u>Jeremiah's purchase</u>

Jeremiah bought 3 gallon of ice cream

so total spend on ice cream = cost of 1 gallon \times total gallons

=x\times3\\=3x

Jeremiah bought 4 container of strawberries

So total spend on = strawberries =cost pf 1 container \times total container

=y\times4\\=4y

Jeremiah's total expenditure =\$19.50

3x+4y=19.50 .......(1)

<u>Gary's purchase</u>

Gary bought 5 gallons of ice cream

so total spend on ice cream = 5\times x=5x

Gary bough 2 containers of strawberries

so total spend on strawberries = 2\times y=2y

Gary's total expenditure =\$22

5x+2y=22.....(2)

solve eqn(1) and eqn(2)

3x+4y=19.50\\5x+2y=22

multiply eqn(2) by (2) and eqn(2)-eqn(3)

(10x-3x)+(4y-4y)=(44-19.50)\\\\7x=24.5\\\\x=\frac{24.5}{7}\\\\x=3.5

Substitute in eqn(2)

5\times3.5+2y=22\\\\2y=22-5\times3.5=22-17.5\\\\2y=4.5\\\\y=\frac{4.5}{2}\\\\y=2.25

Cost of 1 gallon of ice cream =\$3.5

Cost of 1 container of strawberries =\$2.25

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Answer:

Step-by-step explanation:

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