Question

Y=-4x +11
y=-2x+7
by subsitution​

Answer 1

(2, 3)

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

• Multiplication Property of Equality
• Division Property of Equality
• Addition Property of Equality
• Subtraction Property of Equality

Algebra I

• Coordinates (x, y)
• Terms/Coefficients
• Solving systems of equations using substitution/elimination

Explanation:

Step 1: Define Systems

y = -4x + 11

y = -2x + 7

Step 2: Solve for x

Substitution

1. Substitute in y [1st Equation]: -2x + 7 = -4x + 11
2. [Addition Property of Equality] Add 4x on both sides: 2x + 7 = 11
3. [Subtraction Property of Equality] Subtract 7 on both sides: 2x = 4
4. [Division Property of Equality] Divide 2 on both sides: x = 2

Step 3: Solve for y

1. Substitute in x [2nd Equation]: y = -2(2) + 7
2. Multiply: y = -4 + 7
3. Add: y = 3