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Wittaler [7]
3 years ago
5

Solve the simultaneous equation

Mathematics
1 answer:
Rufina [12.5K]3 years ago
6 0

Answer:

x = -\frac{11}{5}, 3

y = -\frac{8}{5},1

Step-by-step explanation:

3xy - y² = 8 -------(1)

x - 2y = 1 ------(2)

From equation (2),

x = 2y + 1

By substituting the value of x in equation (1),

3y(2y + 1) - y² = 8

6y² + 3y - y² = 8

5y² + 3y - 8 = 0

5y² + 8y - 5y - 8 = 0

y(5y + 8) - 1(5y + 8) = 0

(y - 1)(5y + 8) = 0

y = -\frac{8}{5},1

From equation (2),

x = 2y + 1

For y = -\frac{8}{5},

x = -2(\frac{8}{5})+1

x = -\frac{11}{5}

For y = 1,

x = 2(1) + 1

x = 3

Therefore, x = -\frac{11}{5}, 3

                  y = -\frac{8}{5},1

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