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

a = 4

b = -2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Equality PropertiesSolving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

a + 4b = -4

a + 10b = -16

Step 2: Rewrite Systems

a + 4b = -4

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

Step 3: Redefine Systems

a = -4 - 4b

a + 10b = -16

Step 4: Solve for b

Substitution

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

Step 5: Solve for a

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