Question

Write three solutions of 3x+4y=6

Answer 1

Answer:

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Step-by-step explanation:

Given, 3x+4y=6

If x=0,

3(0)+4y=6

0+4y=6

y=3/2

If x=1,

3(1)+4y=6

3+4y=6

4y=3

y=3/4

If x=2,

3(2)+4y=6

6+4y=6

y=0

Three solutions are (0,3/2) (1,3/4) (2,0)

Answer 2

$\underline{\bigstar{\sf\ Solutions\:of\:the\:equation\:are:}}$

Equation = 3x + 4y = 6

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➝ Put y = 0

3x + 4 (0) = 6

3x = 6

x = $\frac {6}{3}$

x = 2

⇒ ( 2, 0)

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➝ Put y = 1

3x + 4(1) = 6

3x + 4 = 6

3x = 6 - 4

3x = 2

x = $\frac {2}{3}$

⇒ ( $\frac {2}{3}$, 1)

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➝ Put y = 3

3x + 4(3) = 6

3x + 12 = 6

3x = 6 - 12

3x = - 6

x = $\frac {-6}{3}$

x = - 2

⇒ ( -2 , 3)

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So, the solutions are ( 2, 0), ( $\frac {2}{3}$, 1), ( -2 , 3)

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