Question

Solve by using substitution.
a=5b-4
-2a +10b = 5​

Answer 1

No solutions

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

Equality Properties

Algebra I

• Solving systems of equations using substitution/elimination

Explanation:

Step 1: Define Systems

a = 5b - 4

-2a + 10b = 5

Step 2: Solve for b

Substitution

1. Substitute in a: -2(5b - 4) + 10b = 5
2. Distribute -2: -10b + 8 + 10b = 5
3. Combine like terms: 8 ≠ 5

Here we see that 8 does not equal 5.

∴ The systems has no solutions.