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
18

1811
18 over 11

-2
-2

100

Answer 1

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

1. \( y = 5x + 10 \)
2. \( 6x - y = 8 \)

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

Substituting \( y = 5x + 10 \) into \( 6x - y = 8 \):

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

Distributing the negative sign:

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

Simplifying:

\[
x - 10 = 8
\]

Adding 10 to both sides:

\[
x = 18
\]

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