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Recent problems solved by 'kvlsravya'
kvlsravya answered: 8 problems
Linear_Algebra/338153: 8-2x + 6 = 4x - 10
1 solutions
Answer 242386 by kvlsravya(8)   on 2010-09-02 10:33:04 (Show Source):
You can put this solution on YOUR website!8-2x + 6 = 4x - 10
Add the constant terms on LHS.
14 - 2x = 4x - 10
Adding '2x' to both sides of the equation, we get
14 = 6x - 10
Adding '10' to both sides of the equation, we get
24 = 6x
That is, 6x = 24
Dividing by '6' on both sides, we get
x = 6
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absolute-value/338149: This system of equations still has me stumped. Your assistance to help me solve it by substitution method would be greatly appreciated.
2x - y = -4
3x + y = -1
1 solutions
Answer 242382 by kvlsravya(8) on 2010-09-02 10:11:31 (Show Source):
You can put this solution on YOUR website!Let us assume the given system of equations as,
2x - y = -4----(1)
3x + y = -1----(2)
Isolating y from (1), we get
y = 2x + 4
Substituting y in (2), we get
3x + (2x + 4) = -1
5x + 4 = -1
5x = -5 [Subtracting '4' from both sides]
x = -1 [Dividing by '5' on both sides]
Plugging in the value of x in the isolated equation that is
y = 2x + 4
y = 2(-1) + 4
y = 2
Hence, solution to the given system of equations is x = -1 and y = 2.
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absolute-value/338147: Please assist me in solving the following system by substitution:
y = 2x - 8
4x + 3y = 1
My initial efforts seem to be missing at least one step. Thank you.
1 solutions
Answer 242380 by kvlsravya(8) on 2010-09-02 10:04:47 (Show Source):
You can put this solution on YOUR website!Step 1:
Let us assume the given system of equations as
y = 2x - 8 ---- (1)
4x + 3y = 1 ---- (2)
Step 2:
Substitute (1) in (2), we get
4x + 3(2x - 8) = 1
4x + 6x - 24 = 1
10x - 24 = 1
10x = 25
Dividing by 10 on both sides, we get
x = 5/2
Step 3:
Plugging in the obtained value of x in any of the equatons (1), (2), we get
y = -3
Step 4:
Hence,the solution to the given system of equations is x = 5/2 and y = -3.
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Linear-equations/335630: A line has a slope of 3 and contains the point (4, 6). Which is the equation of the line. y=3x-12, y=3x-6, y=3x-14 or y=3x+2?
1 solutions
Answer 240638 by kvlsravya(8) on 2010-08-27 11:20:29 (Show Source):
You can put this solution on YOUR website!Equation of a line with slope 'm' and passing through the point (x1,y1) is
y - y1 = m(x - x1)
From the hypothesis,
m = 3
(x1, y1) = (4, 6)
Plugging in the values in the formula and on further simplification, we get
y = 3x - 6
Hence, option (b) is your answer.
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Linear-systems/335627: Solve the below system of linear equations
7x+6y=-48
x-3y=-3
1 solutions
Answer 240636 by kvlsravya(8) on 2010-08-27 11:15:38 (Show Source):
You can put this solution on YOUR website!Let us suppose the given system of equations as
7x + 6y = -48 ---- (1)
x - 3y = -3 ---- (2)
Let us employ the elimination method to eliminate x.
Multiplying (2) by 7, we get
7x - 21y = -21 ---- (3)
Subtracting (1) from (3), we get
y = -1
Plugging in the value of 'y' in any of the equations (1), (2), we get
x = -6
Hence, the solution to the given system of linear equations is x = -6 and y = -1.
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Expressions-with-variables/335619: The length of a rectangle is 4 feet less than twice its width. find the dimensions if the permeter is 100 feet.
1 solutions
Answer 240633 by kvlsravya(8) on 2010-08-27 11:08:22 (Show Source):
You can put this solution on YOUR website!Let 'l' & 'w' be the length & width of the rectangle respectively.
From the hypothesis,
l = 2w - 4
Perimeter = 100 feet
Perimeter of a rectangle = 2(l + b)
Plugging in 'l' in the above formula, we get
2(2w - 4 + w) = 100
On solving for 'w', we get
length of the rectangle(l) = 32 feet
Width of the rectangle(w) = 18 feet
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