We are given two equations: $9a + b = 29$ $4a + b = -14$ We are asked to solve for $a$.

AlgebraLinear EquationsSystems of EquationsSolving for a variable
2025/5/18

1. Problem Description

We are given two equations:
9a+b=299a + b = 29
4a+b=144a + b = -14
We are asked to solve for aa.

2. Solution Steps

We are given the equations:
9a+b=299a + b = 29 (Equation 1)
4a+b=144a + b = -14 (Equation 2)
Subtract Equation 2 from Equation 1:
(9a+b)(4a+b)=29(14)(9a + b) - (4a + b) = 29 - (-14)
9a+b4ab=29+149a + b - 4a - b = 29 + 14
5a=435a = 43
Divide by 5:
a=435a = \frac{43}{5}

3. Final Answer

a=435a = \frac{43}{5}

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