Question

The solution to the given system of equations is (x, y). What is the value of x?

y=5x+10
6x−y=8
(1 point)
Responses

18/11
18 over 11

-2
-2

100
100

18

Answer 1

To find the value of \( x \) from the system of equations, we can use substitution or elimination. Let's substitute the first equation into the second one.

The equations are:
1. \( y = 5x + 10 \)
2. \( 6x - y = 8 \)

Substituting the expression for \( y \) from the first equation into the second equation:

\[
6x - (5x + 10) = 8
\]

Now, simplify this equation:

\[
6x - 5x - 10 = 8
\]

This simplifies to:

\[
x - 10 = 8
\]

Now, add 10 to both sides:

\[
x = 8 + 10
\]
\[
x = 18
\]

Thus, the value of \( x \) is \( 18 \).

The correct answer is **18**.