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How do you rewrite the equation 2x+y=5 so that x is a function of y and then use the result to find x when y= -2, -1, 0 and 1?

1 Answer

Aug 30, 2017

See below.

Explanation:

$2 x + y = 5 \Rightarrow 2 x = 5 - y$ $2x + y = 5 => 2x = 5 - y$ : subtracting $y$ $y$ from both sides.

$2 x = 5 - y \Rightarrow x = \frac{5 - y}{2}$ $2x = 5 - y => x = (5 - y)/2$ : dividing both sides by 2.

$y = - 2 \Rightarrow x = \frac{5 - (- 2)}{2} \Rightarrow x = \frac{7}{2}$ $y = -2 => x = (5 - (-2))/2 =>x = 7/2$ ( 3.5 )

$y = - 1 \Rightarrow x = \frac{5 - (- 1)}{2} \Rightarrow x = 3$ $y = -1 => x = (5 - (-1))/2 =>x = 3$

$y = 0 \Rightarrow x = \frac{5 - (0)}{2} \Rightarrow x = \frac{5}{2}$ $y = 0 => x = (5 - (0))/2 =>x = 5/2$ ( 2,5 )

$y = 1 \Rightarrow x = \frac{5 - (1)}{2} \Rightarrow x = 2$ $y = 1 => x = (5 - (1))/2 =>x = 2$

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