The graph of $3x - 2y = 12$ passes through which of the following points?

  • A
    $(4, 0)$ and $(-4, 0)$
  • B
    $(0, 6)$ and $(0, -6)$
  • C
    $(4, 0)$ and $(0, -6)$
  • D
    $(3, -2)$ and $(0, 0)$

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The linear equation that converts Fahrenheit $(F)$ to Celsius $(C)$ is given by the relation:
$C = \frac{5F - 160}{9}$
$(i)$ If the temperature is $86^{\circ} F$,what is the temperature in Celsius?
$(ii)$ If the temperature is $35^{\circ} C$,what is the temperature in Fahrenheit?
$(iii)$ If the temperature is $0^{\circ} C$,what is the temperature in Fahrenheit? And if the temperature is $0^{\circ} F$,what is the temperature in Celsius?
$(iv)$ What is the numerical value of the temperature which is the same in both the scales?

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For the equation $5x + 3y = 90$,if $x = 12$,then $y = \dots$

For the equation $3x + 2y = 18$,if $x = 5$,then $y = \ldots$ (in $.5$)

One of the solutions of the linear equation $3x + 5y = 30$ is $\ldots \ldots . .$

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