hey please solve this......
Answers
Answer:
(- 3.5, 4.5)
Step-by-step explanation:
Given : (2/13)(2x + 3y) = 3 + (x -y)/4 , (4y + 5x)/3 = 2x + 7 1/6
To Find : Solve for x & y
Solution:
(2/13)(2x + 3y) = 3 + (x -y)/4
multiplying both sides by 52
=> 8(2x + 3y) = 156 + 13(x - y)
=> 16x + 24y = 156 + 13x - 13y
=> 3x + 37y = 156 Eq1
(4y + 5x)/3 = 2x + 7 1/6
multiplying both sides by 6
=> 2(4y + 5x) = 12x + 43
=> 8y - 2x = 43 Eq2
2*Eq1 + 3*Eq2
=> 74y + 24y = 312 + 129
=> 98y = 441
=> y = 4.5
3x + 37y = 156
=> 3x + 37(4.5) = 156
=> 3x = -10.5
=> x = -3.5
x = -3.5 , y = 4.5
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