Question
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Part 1
yequals=mx plus 5mx+5
(a) Solve for m.
Part 1
yequals=mx plus 5mx+5
(a) Solve for m.
Answers
GPT-4o mini
Let's solve the equation \( y = mx + 5mx + 5 \) for \( m \).
First, we can combine the terms on the right side:
\[
y = (m + 5m)x + 5
\]
\[
y = 6mx + 5
\]
Now, we can isolate \( m \).
1. Subtract 5 from both sides:
\[
y - 5 = 6mx
\]
2. Divide both sides by \( 6x \) (assuming \( x \neq 0 \)) to express \( m \):
\[
m = \frac{y - 5}{6x}
\]
Thus, the solution for \( m \) is:
\[
m = \frac{y - 5}{6x}
\]
First, we can combine the terms on the right side:
\[
y = (m + 5m)x + 5
\]
\[
y = 6mx + 5
\]
Now, we can isolate \( m \).
1. Subtract 5 from both sides:
\[
y - 5 = 6mx
\]
2. Divide both sides by \( 6x \) (assuming \( x \neq 0 \)) to express \( m \):
\[
m = \frac{y - 5}{6x}
\]
Thus, the solution for \( m \) is:
\[
m = \frac{y - 5}{6x}
\]