Solve the simultaneous equationsX + y = 83x - y = 12X =y =
2 answers:
Answer: (5,3)
Step-by-step explanation:
Solve by Addition/Elimination
x + y = 8
3x − y = 12
Add the two equations together to eliminate y from the system.
x + y = 8
<u>+ 3x −y = 12</u>
4x = 20
Divide each term in 4x = 20 by 4.
<u>4x</u> = <u>20</u>
4 4
Cancel the common factor of 4.
x= 20/4
x = 5
Substitute the value found for x into one of the original equations to solve for y.
(5) + y = 8
Remove parentheses.
5 + y = 8
Move all terms not containing y to the right side of the equation.
Subtract 5 from both sides of the equation.
y = 8 − 5
Subtract 5 from 8.
y = 3
The solution to the independent system of equations can be represented as a point.
(5, 3)
The result can be shown in multiple forms.
Point Form:
(5, 3)
Equation Form:
x = 5, y = 3
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Where:
<em>x = Numerator</em>
<em>y = Denominator.</em>
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To solve the above question, we would be applying the operations of the addition of fractions.
It will take both of them hours if they worked together.
From the question,
Nyesha takes 50 hours a week to render services to her customers.
Shantese takes 60 hours a week to do the same amount of work.
Let us represent the number of hours it will take them both to decorate the room working together as "T"
Hence,
1/T = 1/50 + 1/60
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