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2 years ago

Solve each pair of simultaneous equations by elimination method.a) 2x+3y-1=0 5x+2y+3=0

Mathematics

2 answers:

My name is Ann [436]2 years ago

7 0

Answer:

x = -1

y = 1

Step-by-step explanation:

<h2>PART I: Find the y-value</h2>

<u>Given expressions</u>

1) 2x + 3y - 1 = 0

2) 5x + 2y + 3 = 0

<u>Add 1 on both sides of the 1) equation:</u>

2x + 3y - 1 + 1 = 0 + 1

2x + 3y = 1

<u>Subtract 3 on both sides of the 2) equation:</u>

5x + 2y + 3 - 3 = 0 - 3

5x + 2y = -3

<u>Current System</u>

1) 2x + 3y = 1

2) 5x + 2y = -3

<u>Multiply 2.5 on both sides of the 1) equation</u>

(2.5) 2x + (2.5) 3y = (2.5) 1

5x + 7.5y = 2.5

<u>Current System</u>

1) 5x + 7.5y = 2.5

2) 5x + 2y = -3

<u>Subtract 2) equation from 1) equation</u>

(5x + 7.5y) - (5x + 2y) = 2.5 - (-3)

<u>Get rid of the parenthesis </u>

5x + 7.5y - 5x - 2y = 2.5 + 3

<u>Combine like terms</u>

5x - 5x + 7.5y - 2y = 5.5

0 + 5.5y = 5.5

5.5y = 5.5

<u>Divide 5.5 on both sides</u>

5.5y / 5.5 = 5.5 / 5.5

$\boxed{y=1}$

<h2>PART II: Find the x-value</h2>

<u>Substitute the y-value back to one of the equations to find the x-value</u>

2x + 3y - 1 = 0

2x + 3(1) - 1 = 0

<u>Combine like terms</u>

2x + 3 - 1 = 0

2x + 2 = 0

<u>Subtract 2 on both sides</u>

2x + 2 - 2 = 0 - 2

2x = -2

<u>Divide 2 on both sides</u>

2x / 2 = -2 / 2

$\boxed{x=-1}$

Hope this helps!! :)

Please let me know if you have any questions

Tanzania [10]2 years ago

5 0

Make x the subject
2x = -3y + 1
5x = -2y -3

now times the answers to get the lcd

(2x = -3y + 1) x 5
10x = -15y + 5

(5x = -2y -3) 2
10x = -4y -6

now that they are equal to the same number:
-15y + 5 = -4y -6
-15y + 4y = -6 -5
-11y = -11
y = 1

now to find x we substitute y
2x = -3y + 1
2x = -3(1) + 1
2x = -3 + 1
2x = -2
x = -1

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4 years ago

The expression represents the cost of Janelle’s cell phone bill, where m represents the number of minutes of use. 0.05m + 12 Wha

inn [45]

Answer:

The constant in the expression is 12

Step-by-step explanation:

The constant of the expression is the value that is independent of the number of minutes Janelle uses. The expression can be written as :

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3 years ago

Read 2 more answers

By paying $1500 cash and the balance is equal monthly payments, how many months would it take to pay for a car costing $12,495?

Elden [556K]

The monthly installments need to be paid is $10995.

To determine the number of months needed to pay off the remaining balance. We need to know the monthly installment.

<h3>What is installments?</h3>

When you get an installment loan, you get the money you borrowed or the item you bought right away.

You pay it off in installments, which are regularly scheduled payments that may include interest.
For a set number of months, or years, you generally owe the same amount on every installment.
When the loan is fully repaid, the account is permanently closed.

Now, as per the question;

Amount paid in cash = $1500

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Thus, the monthly installments are $10995.

Now, to determine the number of months needed to pay off the remaining balance. The monthly installment is need to be known.

As a result, information on monthly installments is lacking.

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The complete question is-

What necessary piece of information is missing that prevents solving the problem? By paying $1500 cash and the balance in equal monthly payments, how many months would it take to pay for a car costing$12,495?

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2 years ago

I don’t understand this

navik [9.2K]

Answer:

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You multiply the number of cheese pounds(p) by the cost of the pounds($4.88)

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3 years ago

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Find the length of ST. St= 5x+2 and TV = 3x+12 <br> Thank you for anyone who does answer(:

valentina_108 [34]

I think you forgot to include that T is the midpoint of SV, but what this would mean is that ST = TV.
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Subtract 3x from both sides.
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Divide both sides by 2.
x = 5

Now plug that x into ST.
ST = 5(5) + 2
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4 years ago

Solve each pair of simultaneous equations by elimination method.a) 2x+3y-1=0 5x+2y+3=0​

Solve each pair of simultaneous equations by elimination method.a) 2x+3y-1=0 5x+2y+3=0