Question

Solve the system by substitution

Y= -7x + 6
Y = - 10x


Plz help

Answer 1

1) Substitute y for y in the equation and set them equal to each other.

-10x=-7x+6

*Combine like terms*

2) add 7x to both sides

-3x=6

*isolate x: divide by -3*

3) x=-2

Answer 2

(-2, 20)

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)
• Solving systems of equations using substitution/elimination

Explanation:

Step 1: Define Systems

y = -7x + 6

y = -10x

Step 2: Solve for x

Substitution

1. Substitute in y [1st Equation]: -10x = -7x + 6
2. [Addition Property of Equality] Add 7x on both sides: -3x = 6
3. [Division Property of Equality] Divide -3 on both sides: x = -2

Step 3: Solve for y

1. Substitute in x [2nd Equation]: y = -10(-2)
2. Multiply: y = 20