Question

Y = -3x + 10
Y = -2x + 6

The solution to this system is ( ? , ? )

Answer 1

(4, -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

Equality Properties

Algebra I

• Solving systems of equations using substitution/elimination

Explanation:

Step 1: Define Systems

y = -3x + 10

y = -2x + 6

Step 2: Solve for x

Substitution

1. Substitute in y: -3x + 10 = -2x + 6
2. Add 3x on both sides: 10 = x + 6
3. Isolate x: 4 = x
4. Rewrite: x = 4

Step 3: Solve for y

1. Define equation: y = -2x + 6
2. Substitute in x: y = -2(4) + 6
3. Multiply: y = -8 + 6
4. Add: y = -2