Mathematics, 25.06.2021 21:10 marknjenbennetp3j1v1

What is the x-value in the solution to this system of linear equations? 2x − y = 11

x + 3y = −5

−3
−1
2
4

Answers: 2

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Answers

Answer from: alex6111

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/CoefficientsSolving 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 = -5Combine 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

Answer from: MaeWolfe

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 - 11x + 3y = -5

substitute the value of y in the equation

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

distribute 3

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

combine like terms

7x - 33 = -5

Add 33 on both side

7x - 33 + 33 = -5 + 337x = 28

divide both side by 7

7x / 7 = 28 / 7x = 4

Answer from: Quest

a) 15/7

step-by-step explanation:

The two cones below are similar. what is the height of the smaller cone?

Answer from: Quest

we know that

applying the law of sines

∠j=18°

∠k=29°

∠l=180-(18+29)=133°

the answer part a) is

the measure of angle k is ≈29°

part b) the measure of angle k could also be

(180-29)=151°

∠j=18°

∠k=151°

∠l=180-(18+151)=11°

the answer part b) is

the measure of angle k could also be 151°

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What is the x-value in the solution to this system of linear equations? 2x − y = 11

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