Math Problem Statement

bd = 5, a + c = -1, ad + bc = 3, d + a*c + b = 4

Solution

To solve the system of equations:

  1. bd=5b \cdot d = 5 (Equation 1)
  2. a+c=1a + c = -1 (Equation 2)
  3. ad+bc=3a \cdot d + b \cdot c = 3 (Equation 3)
  4. d+ac+b=4d + a \cdot c + b = 4 (Equation 4)

We can express cc from Equation 2 as c=1ac = -1 - a. Substituting this into the other equations will allow us to solve for the variables a,b,c,a, b, c, and dd.

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Math Problem Analysis

Mathematical Concepts

Algebra
Systems of Equations

Formulas

b * d = 5
a + c = -1
a * d + b * c = 3
d + a * c + b = 4

Theorems

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Suitable Grade Level

Grades 9-12