Question

write 2y = 10x - 16 in standard form. identify a, b, and c.
a) 10x + 2y = -16; a = 10, b = 2, c = -16
b) -10x + 2y = -16; a = -10, b = 2, c = -16
c) 5x - y = 8; a = 5, b = -1, c = 8
d) 5x + y + 16 = 0; a = 5, b = 1, c = 16

Explanation:

Step1: Recall standard - form of a linear equation

The standard form of a linear equation is \(Ax + By=C\), where \(A\), \(B\), and \(C\) are integers, and \(A\geq0\).

Step2: Rearrange the given equation \(2y = 10x-16\)

Subtract \(10x\) from both sides to get \(- 10x+2y=-16\). Here \(A=-10\), \(B = 2\), \(C=-16\).

Answer:

C. \(-10x + 2y=-16;A=-10,B = 2,C=-16\)