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3 years ago

What is the x-value in the solution to this system of linear equations?

Mathematics

2 answers:

Svet_ta [14]3 years ago

4 0

Answer:

x = 4

Step-by-step explanation:

2x - y = 11

x + 3y = -5

To calculate the value of x , firstly we need to find value of y.

solve for y

2x - y = 11

subtract 2x from both side

2x - 2x - y = 11 - 2x
-y = 11 - 2x

change the sign of both side of equation

y = -11 + 2x

rewrite

y = 2x - 11

Solve for x

y = 2x - 11
x + 3y = -5

substitute the value of y in the equation

x + 3( 2x - 11 ) = -5

distribute 3

x + 3 × 2x - 3× 11 = -5
x + 6x - 33 = -5

combine like terms

7x - 33 = -5

Add 33 on both side

7x - 33 + 33 = -5 + 33
7x = 28

divide both side by 7

7x / 7 = 28 / 7
x = 4

Veronika [31]3 years ago

3 0

Answer:

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

Terms/Coefficients
Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

2x - y = 11

x + 3y = -5

Step 2: Rewrite Systems

2x - y = 11

[Subtraction Property of Equality] Subtract 2x on both sides: -y = 11 - 2x
[Division Property of Equality] Divide -1 on both sides: y = 2x - 11

Step 3: Redefine Systems

y = 2x - 11

x + 3y = -5

Step 2: Solve for x

Substitution

Substitute in y [2nd Equation]: x + 3(2x - 11) = -5
[Distributive Property] Distribute 3: x + 6x - 33 = -5
Combine like terms: 7x - 33 = -5
[Addition Property of Equality] Add 33 on both sides: 7x = 28
[Division Property of Equality] Divide 7 on both sides: x = 4

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