Question

-2x + 2y = -4
2x - 3y = 2

Answer 1

x=4, y=2 (4,2)

Explanation:

This is a system of equations.

-2x+2y=-4

2x-3y=2

I'll use the elimination method to solve this.

add the two equations together.

what's left:

-y=-2

multiply both by -1

y=2

now, substitute 2 as y into one of the other equations.

For example:

-2x+2(2)=-4

-2x+4=-4

-2x=-8

x=4

hope this helps!

Answer 2

(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

• Terms
• Solving systems of equations using substitution/elimination

Explanation:

Step 1: Define Systems

-2x + 2y = -4

2x - 3y = 2

Step 2: Rewrite Systems

2x - 3y = 2

1. Add 3y to both sides: 2x = 3y + 2

Step 3: Redefine Systems

-2x + 2y = -4

2x = 3y + 2

Step 4: Solve for y

Substitution

1. Substitute in 2x: -(3y + 2) + 2y = -4
2. Distribute -1: -3y - 2 + 2y = -4
3. Combine like terms: -y - 2 = -4
4. Isolate y term: -y = -2
5. Isolate y: y = 2

Step 5: Solve for x

1. Define equation: 2x - 3y = 2
2. Substitute in y: 2x - 3(2) = 2
3. Multiply: 2x - 6 = 2
4. Isolate x term: 2x = 8
5. Isolate x: x = 4