solve value of x and y . 3x+4y=13, 2x-4y=3.
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Answered by
2
3x + 4y = 13 ----(1)
2x -4y = 3 -----(2)
Adding (1) & (2)
5x = 16
x = 16/5
y = 17/20
2x -4y = 3 -----(2)
Adding (1) & (2)
5x = 16
x = 16/5
y = 17/20
Answered by
1
3x + 4y = 13
2x - 4y = 3
Add the two equations:
3x + 4y = 13
2x - 4y = 3
5x + 0 = 16
⇒ 5x = 16
⇒ x = 16/5
Putting x = 16/5 in the equation
3(16/5) + 4y = 13
⇒ 48/5 + 4y = 13
⇒ 4y = 13 - 48/5
⇒ 4y = (65-48)/5 = 17/5
⇒ y = 17/5 × 1/4
⇒ y = 17/20
So x=16/5 and y=17/20
2x - 4y = 3
Add the two equations:
3x + 4y = 13
2x - 4y = 3
5x + 0 = 16
⇒ 5x = 16
⇒ x = 16/5
Putting x = 16/5 in the equation
3(16/5) + 4y = 13
⇒ 48/5 + 4y = 13
⇒ 4y = 13 - 48/5
⇒ 4y = (65-48)/5 = 17/5
⇒ y = 17/5 × 1/4
⇒ y = 17/20
So x=16/5 and y=17/20
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