Question

What is the value of c when the equation $2y=5x+7$ is written in the standard form $ax+by+c=0?$

• A. - $\frac{7}{2}$
• B. 1
• C. 6 or -6
• D. 7 or -7

Answer 1

The correct option is D

7 or -7

Given equation $2y=5x+7$

Rewriting the equation in standard form,

$5x-2y+7=0$

On comparing the above equation with standard form ax + by + c = 0, we get

c = 7

Now, the given equation can also be written as

$-5x+2y-7=0$
(By multiplying both the sides by (-1))

On comparing the above equation with standard form ax + by + c = 0, we get

c = -7

$\therefore$ The value of c will be 7 or -7.