The value of x and y are 0.5 and 4 respectively.
2x+3y=13 ..... i
4x-y=-2 ...... ii
Multiply equation i by 4
Multiply equation ii by 2
8x + 12y = 52 ..... iii
8x - 2y = -4 ...... iv
Subtract iv from iii
14y = 56
Divide both side by 14
14y/14 = 56/14
y = 4
Since 4x-y=-2
4x - 4 = -2
4x = -2 + 4.
4x = 2
x = 2/4 = 0.5
Therefore, x = 0.5 and y = 4
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