Question

Solve the systems of equations by substitution:
Y=-3/5x+2
3x+5y=15

Answer 1

No solution

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

y = -3/5x + 2

3x + 5y = 15

Step 2: Solve for x

Substitution

1. Substitute in y: 3x + 5(-3/5x + 2) = 15
2. Distribute 5: 3x - 3x + 10 = 15
3. Combine like terms: 10 ≠ 15

Here we see that 10 does not equal 15.

∴ the systems has no solution.