To find the ordered pair that is a solution to the equation [tex]\( y = 2x - 1 \)[/tex] given that [tex]\( x = 1 \)[/tex], we can follow these steps:
1. Start with the given value of [tex]\( x \)[/tex]:
[tex]\[
x = 1
\][/tex]
2. Substitute [tex]\( x = 1 \)[/tex] into the equation [tex]\( y = 2x - 1 \)[/tex]:
[tex]\[
y = 2(1) - 1
\][/tex]
3. Calculate the right-hand side of the equation:
[tex]\[
y = 2 \cdot 1 - 1
\][/tex]
[tex]\[
y = 2 - 1
\][/tex]
[tex]\[
y = 1
\][/tex]
4. The corresponding value of [tex]\( y \)[/tex] is 1 when [tex]\( x = 1 \)[/tex].
So, the ordered pair that satisfies the equation [tex]\( y = 2x - 1 \)[/tex] for [tex]\( x = 1 \)[/tex] is:
[tex]\[
(1, 1)
\][/tex]
Thus, the ordered pair is [tex]\((1, 1)\)[/tex].
