Certainly! Let's solve the equation step by step when [tex]\( x = -14 \)[/tex].
We start with the given equation:
[tex]\[ -2x - 3y = 49 \][/tex]
First, substitute [tex]\( x = -14 \)[/tex] into the equation:
[tex]\[ -2(-14) - 3y = 49 \][/tex]
Now, calculate [tex]\(-2 \times (-14)\)[/tex]:
[tex]\[ -2 \times (-14) = 28 \][/tex]
So, the equation becomes:
[tex]\[ 28 - 3y = 49 \][/tex]
Next, we need to isolate [tex]\( y \)[/tex]. To do this, subtract 28 from both sides of the equation:
[tex]\[ 28 - 3y - 28 = 49 - 28 \][/tex]
Simplifying this, we get:
[tex]\[ -3y = 21 \][/tex]
Finally, solve for [tex]\( y \)[/tex] by dividing both sides by [tex]\(-3\)[/tex]:
[tex]\[ y = \frac{21}{-3} = -7 \][/tex]
Thus, when [tex]\( x = -14 \)[/tex], the value of [tex]\( y \)[/tex] is [tex]\( -7 \)[/tex].
