Question

4x + 16y = -19
-2x - 8y = 10

Answer 1

No solution.

General Formulas and Concepts:

Pre-Algebra

• Order of Operations: BPEMDAS
• Equality Properties

Algebra I

• Solving systems of equations using substitution/elimination
• Solving systems of equations by graphing

Explanation:

Step 1: Define systems

4x + 16y = -19

-2x - 8y = 10

Step 2: Rewrite systems

-2x - 8y = 10

1. Add 8y to both sides: -2x = 8y + 10
2. Divide -2 on both sides: x = -4y - 5

Step 3: Redefine systems

4x + 16y = -19

x = -4y - 5

Step 4: Solve for y

Substitution

1. Substitute in x: 4(-4y - 5) + 16y = -19
2. Distribute 4: -16y - 20 + 16y = -19
3. Combine like terms: -20 ≠ -19

Here we see that -20 does not equal -19.

∴ This systems of equations has no solution

Step 5: Graph

Check the systems.

Hard to see, but they are parallel lines.