Question

Solve the following system of equations by substitution

Answer 1

x = -3, y = -1

Explanation:

In order to solve an equation using substitution you need to make one of the variables values opposite of one another. For example, 4's opposite would be -4. Moving on, we multiply the bottom equation by -2. That gives us y = -2x -4. We combine like values and the remaing equation is y = -1. Finally, we can insert our value;-1 = x +2. We do inverse operations and we are left with x = -3.

Answer 2

(-1, 1)

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

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

Explanation:

Step 1: Define Systems

y = 2x + 3

y = x + 2

Step 2: Solve for x

Substitution

1. Substitute in y: 2x + 3 = x + 2
2. [Subtraction Property of Equality] Subtract x on both sides: x + 3 = 2
3. [Subtraction Property of Equality] Subtract 3 on both sides: x = -1

Step 3: Solve for y

1. Substitute in x [Original Equation]: y = -1 + 2
2. Add: y = 1