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2 years ago

What is the solution to the pair of simultaneous equations? 2x+y=5. 3x-2y=4

Mathematics

1 answer:

densk [106]2 years ago

3 0

Answer:

(2, 1)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Distributive Property

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

Step-by-step explanation:

Step 1: Define Systems

2x + y = 5

3x - 2y = 4

Step 2: Rewrite Systems

Manipulate 1st equation

[Subtraction Property of Equality] Subtract 2x on both sides: y = 5 - 2x

Step 3: Solve for x

Substitution

Substitute in y [2nd Equation]: 3x - 2(5 - 2x) = 4
[Distributive Property] Distribute -2: 3x - 10 + 4x = 4
[Addition] Combine like terms: 7x - 10 = 4
[Addition Property of Equality] Add 10 on both sides: 7x = 14
[Division Property of Equality] Divide 7 on both sides: x = 2

Step 4: Solve for y

Substitute in x [Modified 1st Equation]: y = 5 - 2(2)
Multiply: y = 5 - 4
Subtract: y = 1

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What is the solution to the pair of simultaneous equations? 2x+y=5. 3x-2y=4​

What is the solution to the pair of simultaneous equations? 2x+y=5. 3x-2y=4