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Use the equation below and the indicated value to find an ordered pair that is a solution.

[tex]\[ y = 2x - 1 \][/tex]

Let [tex]\[ x = 1 \][/tex]

The ordered pair is [tex]\((1, \square)\)[/tex].

(Simplify your answer. Type an integer or a fraction.)

Sagot :

GinnyAnsweridn
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].
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