To provide you with the value of \( y \) for the solution to the system of equations, I would need the specific equations presented in the system. Please provide the equations so that I can help solve for \( y \).
A system of equations is given below.
What is the value of y for the solution to the system? Type your response in the box below.
y =
Math Equation Response Question
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3 answers
x+3y=15
3x+2y=10
3x+2y=10
To solve the system of equations
- \( x + 3y = 15 \) (Equation 1)
- \( 3x + 2y = 10 \) (Equation 2)
we can use the substitution or elimination method. Here, I’ll use the substitution method:
- Solve Equation 1 for \( x \):
\[ x = 15 - 3y \]
- Substitute \( x \) in Equation 2:
\[ 3(15 - 3y) + 2y = 10 \]
- Distributing \( 3 \):
\[ 45 - 9y + 2y = 10 \]
- Combine like terms:
\[ 45 - 7y = 10 \]
- Subtract 45 from both sides:
\[ -7y = 10 - 45 \] \[ -7y = -35 \]
- Divide by -7:
\[ y = 5 \]
Thus, the value of \( y \) for the solution to the system is:
\[ \boxed{5} \]
2 answers