Explain how to solve?
Which equation below shows the equation y = – 1/4x + 4 written in standard form using integers?
A) 2x + 3y = 21
B) 3x – 2y = 21
C) –2x + 3y = 21
D) –2x – 3y = 21
y = -1/4 x + 4
times 4
4y = -x + 16
x + 4y = 16
looks like none of your choices fit.
To solve this question, we need to rewrite the equation y = -1/4x + 4 in standard form using integers.
Standard form for a linear equation is written as Ax + By = C, where A, B, and C are integers.
Let's start by multiplying all the terms in the original equation by 4 to eliminate the fraction:
4y = -1x + 16
Next, let's rearrange the equation so that the x term comes before the y term:
x + 4y = 16
Now we have the equation in standard form. However, the question asks for the equation written in standard form using integers.
Looking at the answer choices:
A) 2x + 3y = 21
B) 3x - 2y = 21
C) -2x + 3y = 21
D) -2x - 3y = 21
We can see that option C, -2x + 3y = 21, is the equation written in standard form using integers. Therefore, the correct answer is C) -2x + 3y = 21.