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प्रश्न
Solve the following set of simultaneous equation.
3x - 5y = 16; x - 3y = 8
उत्तर १
3x - 5y = 16 ...(1)
x - 3y = 8 ...(2)
From (2), x = 8 + 3y ...(3)
substituting equation 3 in equation 1, we get
3(8 + 3y) − 5y = 16
24 + 9y − 5y = 16
9y − 5y = 16 − 24
4y = −8
y = `(− 8)/4`
y = −2
substituting y = −2 in equation 3, we get
x = 8 + 3y
x = 8 + 3 × (−2)
x = 8 − 6
x = 2
Therefore, x = 2 and y = −2.
उत्तर २
3x − 5y = 16 ...(1)
x − 3y = 8 ...(2)
On multiplying both sides of equation (2) by 3,
3x − 9y = 24 ...(3)
Subtracting equation (1) from equation (3), we get
3x - 9y = 24 ...(3)
3x - 5y = 16 ...(1)
− + −
− 4y = 8
∴ 4y = −8
∴ y = `(- 8)/4`
∴ y = −2
Substituting y = −2 in equation (1), we get
∴ 3x − 5y = 16
∴ 3x − 5(−2) = 16
∴ 3x + 10 = 16
∴ 3x = 16 − 10
∴ 3x = 6
∴ x = `6/3`
∴ x = 2
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