High School

4) Given:

[tex] 4x - 6y = 16 [/tex]

[tex] x = 7 [/tex]

Then, solve for [tex] y [/tex]:

[tex] y = [/tex]

Answer :

Sure! Let's solve the equation step-by-step.

We are given the equation:
[tex]\[ 4x - 6y = 16 \][/tex]

And we know that:
[tex]\[ x = 7 \][/tex]

First, substitute [tex]\( x = 7 \)[/tex] into the equation:

[tex]\[ 4(7) - 6y = 16 \][/tex]

Now, calculate [tex]\( 4 \times 7 \)[/tex]:

[tex]\[ 28 - 6y = 16 \][/tex]

Next, we need to isolate [tex]\( y \)[/tex]. Subtract 28 from both sides of the equation:

[tex]\[ -6y = 16 - 28 \][/tex]

This simplifies to:

[tex]\[ -6y = -12 \][/tex]

Finally, divide both sides by -6 to solve for [tex]\( y \)[/tex]:

[tex]\[ y = \frac{-12}{-6} \][/tex]

[tex]\[ y = 2 \][/tex]

So, the value of [tex]\( y \)[/tex] is:

[tex]\[ y = 2 \][/tex]