Solve the equation $2 x + 10 y - 7 = 0$ for $y$ .
A) $y = \frac { 7 - 2 x } { 10 }$ or $y = 0.7 - 0.2 x$

B) $y = \frac { 7 + 2 x } { 10 }$ or $y = 0.7 + 0.2 x$

C) $y = \frac { 2 x - 7 } { 10 }$ or $y = 0.2 x - 2$

D) None of the above.

Question

Solve the equation $2 x + 10 y - 7 = 0$ for $y$ . 
A) $y = \frac { 7 - 2 x } { 10 }$ or $y = 0.7 - 0.2 x$

B) $y = \frac { 7 + 2 x } { 10 }$ or $y = 0.7 + 0.2 x$

C) $y = \frac { 2 x - 7 } { 10 }$ or $y = 0.2 x - 2$

D) None of the above.

Quizplus · Accepted Answer

First, we isolate the term containing $y$ on one side: 
$$2x + 10y - 7 = 0 \Rightarrow 10y = -2x + 7 \Rightarrow y = -\frac{2}{10}x + \frac{7}{10}$$
Simplifying the second term, we get:
$$y = -\frac{1}{5}x + \frac{7}{10} \Rightarrow y = \frac{7}{10} - \frac{1}{5}x$$
This can be written in two equivalent forms: 
$$y = \frac{7-2x}{10} \quad \text{or} \quad y = 0.7 - 0.2x $$
Therefore, the answer is (A).

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Solve the Equation $2 x + 10 y - 7 = 0$