Question

What is the value of yin the following system?y=3x−5, 6x+3y=15(1 point)

Answer 1

To find the value of \( y \) in the given system of equations, we need to solve the equations simultaneously. The equations are:

1. \( y = 3x - 5 \)
2. \( 6x + 3y = 15 \)

We can substitute the expression for \( y \) from the first equation into the second equation.

Substituting \( y \) in the second equation:

\[
6x + 3(3x - 5) = 15
\]

Now, simplify the equation:

\[
6x + 9x - 15 = 15
\]

Combine like terms:

\[
15x - 15 = 15
\]

Add 15 to both sides:

\[
15x = 30
\]

Now, divide by 15:

\[
x = 2
\]

Now that we have \( x \), we can substitute it back into the first equation to find \( y \):

\[
y = 3(2) - 5
\]
\[
y = 6 - 5
\]
\[
y = 1
\]

Thus, the value of \( y \) is \( \boxed{1} \).