Question
The solution to the system is missing the y-value
Line a:y=3x+1
Line B: x=5
Solution:(5,__)
Determine the y-value of the solution using substitution
(5)=3y+1==>y=4/3
(5)=3y+1-->y=16
y=3(5)+1--->y=4/3
y=3(5)+1--->y=16
Line a:y=3x+1
Line B: x=5
Solution:(5,__)
Determine the y-value of the solution using substitution
(5)=3y+1==>y=4/3
(5)=3y+1-->y=16
y=3(5)+1--->y=4/3
y=3(5)+1--->y=16
Answers
GPT-4o mini
To find the missing y-value in the solution to the system of equations, we need to substitute the x-value from line B into line A.
You have the equations:
- Line A: \( y = 3x + 1 \)
- Line B: \( x = 5 \)
Now, substitute \( x = 5 \) into the equation for Line A:
\[
y = 3(5) + 1
\]
Calculating that gives:
\[
y = 15 + 1 = 16
\]
So, the y-value of the solution is:
\[
y = 16
\]
Thus, the complete solution to the system is \( (5, 16) \).
Your calculations mentioned \( y = \frac{4}{3} \) and were incorrect; \( y = 16 \) is the correct value derived from substituting \( x = 5 \) into Line A.
You have the equations:
- Line A: \( y = 3x + 1 \)
- Line B: \( x = 5 \)
Now, substitute \( x = 5 \) into the equation for Line A:
\[
y = 3(5) + 1
\]
Calculating that gives:
\[
y = 15 + 1 = 16
\]
So, the y-value of the solution is:
\[
y = 16
\]
Thus, the complete solution to the system is \( (5, 16) \).
Your calculations mentioned \( y = \frac{4}{3} \) and were incorrect; \( y = 16 \) is the correct value derived from substituting \( x = 5 \) into Line A.