Draw the graph of the equation 3x+2y =13 and with the help of graph find the value of x when y=5
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EXPLANATION.
Graph of the equation.
⇒ 3x + 2y = 13.
As we know that,
Put the value of x = 0 in the equation, we get.
⇒ 3(0) + 2y = 13.
⇒ 2y = 13.
⇒ y = 13/2.
⇒ y = 6.5.
Their Co-ordinates = (0,6.5).
Put the value of y = 0 in the equation, we get.
⇒ 3x + 2(0) = 13.
⇒ 3x = 13.
⇒ x = 13/3.
⇒ x = 4.33.
Their Co-ordinates = (4.33,0).
To find value of x when y = 5.
Put the value of y = 5 in the equation, we get.
⇒ 3x + 2y = 13.
⇒ 3x + 2(5) = 13.
⇒ 3x + 10 = 13.
⇒ 3x = 13 - 10.
⇒ 3x = 3.
⇒ x = 1.
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