find x and y in 3x + 2y = 4 and 2x - 3y = 7
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let us find x first
3x+2y=4
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Q. 2. Find the values of x and y in 3x + 2y = 4 and
2x - 3y = 7.
Solution : Given equations are,
3x +2y=4
...(1)
2x-3y=7
Multiplying equation (i) with 3 and equation (ii)
with 2, we get
9x+6y=12
...(iii)
and
4x-6y=14
...(iv)
Thus, adding the above two equations, we get
13x=26
x=2
Replacing x = 2 in equation (i), we get
3(2) + 2y = 4
6+2y=4
→
2y=-2
y=-1
Hence, the values of x and y are 2,- 1 respectively.
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