Mathematics
Grade-8
Easy
Question
What is the y value in the equation 2x + 6y = 12?
![y with bar below equals fraction numerator 12 minus 2 x over denominator 6 end fraction](data:image/png;base64,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)
![y equals fraction numerator 12 minus 3 x over denominator 6 end fraction](data:image/png;base64,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)
![y equals 0](data:image/png;base64,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)
- None of the above
Hint:
try to solve for y .
send all constants and x to right hand side .
The correct answer is: ![y with bar below equals fraction numerator 12 minus 2 x over denominator 6 end fraction](data:image/png;base64,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)
Given
2x + 6y = 12
step 1 :
send 2x to rhs so it becomes -2x
6y = 12 - 2x
step 2 :
now 6 is in multiply with y when it go to rhs it become divide
y = ( 12 - 2x ) / 6
so , value of y is ( 12 - 2x ) / 6 .
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![space 4 space x minus 6 space y equals 15
space space 2 space x minus 3 space y equals 5](data:image/png;base64,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)
What is the name of lines when the following equations are drawn on a graph?
![space 4 space x minus 6 space y equals 15
space space 2 space x minus 3 space y equals 5](data:image/png;base64,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)
MathematicsGrade-8
Mathematics
What is the slope in the following equation y = 3x + 5?
What is the slope in the following equation y = 3x + 5?
MathematicsGrade-8
Mathematics
The difference of 5 times x and 4 times y is 1. And the difference of 2 times x and y is -2. Find the value of x and y.
The difference of 5 times x and 4 times y is 1. And the difference of 2 times x and y is -2. Find the value of x and y.
MathematicsGrade-8
Mathematics
The sum of two numbers is -4. The sum of 3 times the first number and 4 times the second number is -13. Find the numbers.
The sum of two numbers is -4. The sum of 3 times the first number and 4 times the second number is -13. Find the numbers.
MathematicsGrade-8