solve by using cross multiplication 2/x +3/y= 13, 5/x - 4/y =-2
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Step-by-step explanation:
5u-4v=-2
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Answer:
2/x + 3/y -13 = 0
5/x - 4/y - 2 = 0
first we will check whether the system of equation has a solution
for this the value of determinant
D =. | 2. 3 |
| 5. -4 |
must not be equal to zero
2*(-4) - 3*5 = -8 -15 = -23 hence we have a solution
D = -23
the solution by cross multiplication is
|. 3. -13. |
1/x =. |.-4. -2. |
---------------------
D
1/x = (3*-2 - -13*-4)/-23
= (-6 -52)/-23
= -58/-23
= 58/23
x = 23/58
| -13. 2. |
1/y =. |. -2. 5. |
------------------
D
1/y = (-13*5 - 2*-2)/-23
= (-65 + 4)/-23
= -61/-23
= 61/23
y = 23/61
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