Question

A+4b=-4 a+10b=-16
how to solve this problem ​

Answer 1

a = 4

b = -2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right

Algebra I

• Equality Properties
• Solving systems of equations using substitution/elimination

Explanation:

Step 1: Define Systems

a + 4b = -4

a + 10b = -16

Step 2: Rewrite Systems

a + 4b = -4

1. Subtract 4b on both sides: a = -4 - 4b

Step 3: Redefine Systems

a = -4 - 4b

a + 10b = -16

Step 4: Solve for b

Substitution

1. Substitute in a: -4 - 4b + 10b = -16
2. Combine like terms: -4 + 6b = -16
3. Isolate b term: 6b = -12
4. Isolate b: b = -2

Step 5: Solve for a

1. Define equation: a + 4b = -4
2. Substitute in b: a + 4(-2) = -4
3. Multiply: a - 8 = -4
4. Isolate a: a = 4