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

100
100

-2
-2

18
18

1811

Answer 1

To find the value of \( x \) in the given system of equations:

1. **Write down the equations**:
\[
y = 5x + 10
\]
\[
6x - y = 8
\]

2. **Substitute the first equation into the second**:
Replace \( y \) in the second equation with \( 5x + 10 \):
\[
6x - (5x + 10) = 8
\]

3. **Simplify the equation**:
\[
6x - 5x - 10 = 8
\]
\[
x - 10 = 8
\]

4. **Solve for \( x \)**:
\[
x = 8 + 10
\]
\[
x = 18
\]

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