Convert the following equation into standard form. $$ y=-\frac{7 x}{8}+4 $$ $$ [?] x+\square y= $$ Enter the coefficient of x as a positive number.

Question

UpStudy AI · Accepted Answer

To convert the equation $$ y = -\frac{7}{8}x + 4 $$ into standard form $$ Ax + By = C $$ with $$ A $$ positive, follow these steps:

1. **Start with the given equation:**
   $$
   y = -\frac{7}{8}x + 4
   $$

2. **Move the $$ x $$-term to the left side to get:**
   $$
   \frac{7}{8}x + y = 4
   $$

3. **Eliminate the fraction by multiplying every term by 8:**
   $$
   7x + 8y = 32
   $$

So, the standard form of the equation is:
$$
7\,x + 8\,y = 32
$$

**Filled Template:**
$$
\boxed{7}\,x + \boxed{8}\,y = \boxed{32}
$$
The standard form of the equation is $$7x + 8y = 32$$.

Convert the following equation into standard form. \[ y=-\frac{7 x}{8}+4 \] \( [?] x+\square y= \) Enter the coefficient of x as a positive number.