Answer :
Let's solve the given equation step-by-step to find the values of [tex]\( m \)[/tex] that satisfy it.
The equation given is:
[tex]\[
-1 = 4m + 19
\][/tex]
1. Isolate the term with [tex]\( m \)[/tex]:
We need to get the term involving [tex]\( m \)[/tex] by itself. To do this, subtract 19 from both sides of the equation:
[tex]\[
-1 - 19 = 4m
\][/tex]
Simplifying the left side gives:
[tex]\[
-20 = 4m
\][/tex]
2. Solve for [tex]\( m \)[/tex]:
To find [tex]\( m \)[/tex], divide both sides by 4:
[tex]\[
m = \frac{-20}{4}
\][/tex]
Simplifying the right side gives:
[tex]\[
m = -5
\][/tex]
Now, let's check which of the options given might be solutions. You mentioned one option: [tex]\(-5\)[/tex].
- Verify the solution:
Substitute [tex]\( m = -5 \)[/tex] back into the original equation to verify it satisfies the equation:
[tex]\[
-1 = 4(-5) + 19
\][/tex]
This simplifies to:
[tex]\[
-1 = -20 + 19
\][/tex]
[tex]\[
-1 = -1
\][/tex]
The equation holds true.
Thus, the value [tex]\( m = -5 \)[/tex] is indeed a solution to the equation.
The equation given is:
[tex]\[
-1 = 4m + 19
\][/tex]
1. Isolate the term with [tex]\( m \)[/tex]:
We need to get the term involving [tex]\( m \)[/tex] by itself. To do this, subtract 19 from both sides of the equation:
[tex]\[
-1 - 19 = 4m
\][/tex]
Simplifying the left side gives:
[tex]\[
-20 = 4m
\][/tex]
2. Solve for [tex]\( m \)[/tex]:
To find [tex]\( m \)[/tex], divide both sides by 4:
[tex]\[
m = \frac{-20}{4}
\][/tex]
Simplifying the right side gives:
[tex]\[
m = -5
\][/tex]
Now, let's check which of the options given might be solutions. You mentioned one option: [tex]\(-5\)[/tex].
- Verify the solution:
Substitute [tex]\( m = -5 \)[/tex] back into the original equation to verify it satisfies the equation:
[tex]\[
-1 = 4(-5) + 19
\][/tex]
This simplifies to:
[tex]\[
-1 = -20 + 19
\][/tex]
[tex]\[
-1 = -1
\][/tex]
The equation holds true.
Thus, the value [tex]\( m = -5 \)[/tex] is indeed a solution to the equation.
