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2 years ago

Simultaneous Equations - 5p-2q=9 3p+2q=7

Mathematics

1 answer:

Luda [366]2 years ago

4 0

Apnswer:

p = 1

q = -2

Step-by-step explanation:

5p - 2q = 9 eqn 1

3p + 2q = 7 eqn 2

subtract equation 2 from 1

2p = 2

p = 1

Substitute for p in equation 1

5(1) - 2q = 9

5 - 2q = 9

-2q = 4

q = -2

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Sarah had three times as many quarters as nickels. She had $3.20 in all. How many quarters did she have?

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She have 12 quarters

<h3>what is unitary method?</h3>

It is a method where we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.

There are two situation in Unitary method:

There are 5 ice-creams. 5 ice-creams cost $125.

Step 1: Let’s find the cost of 1 ice cream. In order to do that, divide the total cost of ice-creams by the total number of ice-creams. The cost of 1 ice-cream = Total cost of ice-creams/Total number of ice-creams = 125/5 = 25. Therefore, the cost of 1 ice cream is $25.

Step 2: To find the cost of 3 ice-creams, multiply the cost of 1 ice cream by the number of ice-creams. The cost of 3 ice-creams is cost of 1 ice-cream × number of ice-creams = 25 × 3 = $75. Finally, we have the cost of 3 ice-creams i.e. $75.

Given:

If she had 12 quarters, then

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Learn more about unitary method here:

brainly.com/question/22056199

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The another method is to divide the second equation by 2.

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Arrange in the form of y = mx+b.

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When we finally arrange, compare the equation to the first equation. Both equations are the same which mean that both graphs are also same and intersect each others infinitely.

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Answer

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Hope this helps. Let me know if you have any doubts!

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