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30 Oct 2019, 23:58
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Difficulty:
5%
(low)
Question Stats:
88% (01:29) correct
12%
(02:21)
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based on 293
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If \(2x - 4y = -2\) and \(3x - 2y = 3\), then \(2y + x =\)
(A) 1.5
(B) 2
(C) 3.5
(D) 5
(E) 5.5
(A) 1.5
(B) 2
(C) 3.5
(D) 5
(E) 5.5
31 Oct 2019, 00:50
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Bunuel
If \(2x - 4y = -2\) and \(3x - 2y = 3\), then \(2y + x =\)
(A) 1.5
(B) 2
(C) 3.5
(D) 5
(E) 5.5
(A) 1.5
(B) 2
(C) 3.5
(D) 5
(E) 5.5
\(2x - 4y = -2\)....(i) and
\(3x - 2y = 3\)......(ii)
To get 2y+x, we will have to subtract (i) from (II) .......
\(3x-2y-(2x-4y)=3-(-2).........3x-2y-2x+4y=3+2.......x+2y=5\)
D
31 Oct 2019, 06:20
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2x - 4y = -2 ---- (i)
3x - 2y = 3 ----(ii)
multiply (ii) by 2 to get : 6x - 4y =6 .. ---- (iii)
substract (iii) and (i)
6x - 4y = 6
2x - 4y = -2
------------
4x = 8
x = 2
substitute x in equation (i) :
2(2) - 4y = -2
4 - 4y = -2
-4y = -2 - 4
-4y = -6 (negative sign cancels off)
y = 3/2
Substitute y and x in equation asked in question ; 2y + 2 = 2(3/2) + 2 = 5
3x - 2y = 3 ----(ii)
multiply (ii) by 2 to get : 6x - 4y =6 .. ---- (iii)
substract (iii) and (i)
6x - 4y = 6
2x - 4y = -2
------------
4x = 8
x = 2
substitute x in equation (i) :
2(2) - 4y = -2
4 - 4y = -2
-4y = -2 - 4
-4y = -6 (negative sign cancels off)
y = 3/2
Substitute y and x in equation asked in question ; 2y + 2 = 2(3/2) + 2 = 5
