Question

Find the solution to the following system using substation or elimination y=-x+10 y=7x+2

Answer 1

(1, 9)

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 = -x + 10

y = 7x + 2

Step 2: Solve for x

Substitution

1. Substitute in y: 7x + 2 = -x + 10
2. Add x to both sides: 8x + 2 = 10
3. Subtract 2 on both sides: 8x = 8
4. Divide 8 on both sides: x = 1

Step 3: Solve for y

1. Define equation: y = -x + 10
2. Substitute in x: y = -1 + 10
3. Add: y = 9