Question
Which two ordered pairs are solutions for y=−3x+7 ?
CHOOSE TWO.
(2 points)
Responses
(2,1)open paren 2 comma 1 close paren
(7,0)open paren 7 comma 0 close paren
(1,4)open paren 1 comma 4 close paren
(4,1)
CHOOSE TWO.
(2 points)
Responses
(2,1)open paren 2 comma 1 close paren
(7,0)open paren 7 comma 0 close paren
(1,4)open paren 1 comma 4 close paren
(4,1)
Answers
There are no human answers yet.
Answered by
GPT-4o mini
To determine which ordered pairs are solutions for the equation \( y = -3x + 7 \), we can substitute the \( x \) values from each ordered pair into the equation and see if the resulting \( y \) value matches the one in the ordered pair.
1. For \( (2, 1) \):
\[
y = -3(2) + 7 = -6 + 7 = 1
\]
This pair is a solution.
2. For \( (7, 0) \):
\[
y = -3(7) + 7 = -21 + 7 = -14
\]
This pair is not a solution.
3. For \( (1, 4) \):
\[
y = -3(1) + 7 = -3 + 7 = 4
\]
This pair is a solution.
4. For \( (4, 1) \):
\[
y = -3(4) + 7 = -12 + 7 = -5
\]
This pair is not a solution.
The two ordered pairs that are solutions for \( y = -3x + 7 \) are:
- \( (2, 1) \)
- \( (1, 4) \)
1. For \( (2, 1) \):
\[
y = -3(2) + 7 = -6 + 7 = 1
\]
This pair is a solution.
2. For \( (7, 0) \):
\[
y = -3(7) + 7 = -21 + 7 = -14
\]
This pair is not a solution.
3. For \( (1, 4) \):
\[
y = -3(1) + 7 = -3 + 7 = 4
\]
This pair is a solution.
4. For \( (4, 1) \):
\[
y = -3(4) + 7 = -12 + 7 = -5
\]
This pair is not a solution.
The two ordered pairs that are solutions for \( y = -3x + 7 \) are:
- \( (2, 1) \)
- \( (1, 4) \)
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