PLZ ANSWER MY QUESTION FROM 1 TO 9 WITH STEP BY STEP.
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Divya1307:
ok thank u soo much frnd
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Heya!
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✳Ques.7
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➡Let y varies directly as x . If y = 15 when x = 3 , then write a linear equation . What is the Value of y when x = 5 ?
✳Sol. Given that ,
=> y varies directly as x
Hence ,
y = kx < k is the proportionality constant >
We have y = 15 and x = 3 ,
15 = 3k
=> k = 5
========
Hence the Equation is
====================
=> y = 5x
=> y - 5x = 0...............(1)
➡When x = 5 ,
=> y - 5 × 5 = 0
=> y = 25
=========
Ques.2 Write an Equation representing x - axis .
Sol. The Equation representing x axis is y = 0
Ques.3 How many linear equations in x and y can be satisfied at x = 1 and y = 2 ?
Sol. The Number of Equations are INFINITE .
Ex . ✳ X + 2Y = 5 .
Ques. 4Write the Equation x = 7 in two variables .
Sol. It can be written as => x + 0y = 7 < Since y is zero >
Ques.6 Do the points ( 1 , 2 ) ( -1 , -16 ) and ( 0 , -7 ) lie on the linear equation
y = 9x - 7.
✳For ( 1 , 2 ) => x = 1 and y = 2
=> 2 = 9 (1) - 7
=> 2 = 9-7
=> 2 = 2 ✔
✳For ( -1 , -16 )
x = -1 and y = -16
=> -16 = 9 (-1) - 7
=> -16 = -9 - 7
=> -16 = -16
✳For ( 0 , -7 )
x = 0 and y = -7
=> -7 = 9 (0) -7
=> -7 = -7
✔Hence the points lie on the linear equation as the given values are solutions to the Equation !!
Ques.9 . By means of graph verify that the point ( 1 , -1 ) is a solution of the Equation 3x + 2y - 1 = 0
Sol. Given point ( 1 , -1 )
x = 1 and y = -1
=> 3 ( 1 ) + 2 (-1) - 1
=> 3 - 2 - 1
=> 3 - 3 = 0
✳Hence it is a solution of the Equation !!
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✳Ques.7
========
➡Let y varies directly as x . If y = 15 when x = 3 , then write a linear equation . What is the Value of y when x = 5 ?
✳Sol. Given that ,
=> y varies directly as x
Hence ,
y = kx < k is the proportionality constant >
We have y = 15 and x = 3 ,
15 = 3k
=> k = 5
========
Hence the Equation is
====================
=> y = 5x
=> y - 5x = 0...............(1)
➡When x = 5 ,
=> y - 5 × 5 = 0
=> y = 25
=========
Ques.2 Write an Equation representing x - axis .
Sol. The Equation representing x axis is y = 0
Ques.3 How many linear equations in x and y can be satisfied at x = 1 and y = 2 ?
Sol. The Number of Equations are INFINITE .
Ex . ✳ X + 2Y = 5 .
Ques. 4Write the Equation x = 7 in two variables .
Sol. It can be written as => x + 0y = 7 < Since y is zero >
Ques.6 Do the points ( 1 , 2 ) ( -1 , -16 ) and ( 0 , -7 ) lie on the linear equation
y = 9x - 7.
✳For ( 1 , 2 ) => x = 1 and y = 2
=> 2 = 9 (1) - 7
=> 2 = 9-7
=> 2 = 2 ✔
✳For ( -1 , -16 )
x = -1 and y = -16
=> -16 = 9 (-1) - 7
=> -16 = -9 - 7
=> -16 = -16
✳For ( 0 , -7 )
x = 0 and y = -7
=> -7 = 9 (0) -7
=> -7 = -7
✔Hence the points lie on the linear equation as the given values are solutions to the Equation !!
Ques.9 . By means of graph verify that the point ( 1 , -1 ) is a solution of the Equation 3x + 2y - 1 = 0
Sol. Given point ( 1 , -1 )
x = 1 and y = -1
=> 3 ( 1 ) + 2 (-1) - 1
=> 3 - 2 - 1
=> 3 - 3 = 0
✳Hence it is a solution of the Equation !!
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