Mathematics, 01.07.2019 07:50 rajene9302

What is the solution to the system of equations below? 4x - 7y = -2 12x - 21y = -42 a) the ordered pair (-1/2, 0) is the solution. eliminate b) the ordered pair (0, 2/7) is the solution. c) there are an infinite number of solutions. d) there is no solution.

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Answer from: kratose

To solve the question we must know about the system of equations.

System of equationInconsistent System

A system of equations to have no real solution, the lines of the equations must be parallel to each other.

Consistent System

1. Dependent Consistent System

A system of the equation to be Dependent Consistent System the system must have multiple solutions for which the lines of the equation must be coinciding.

2. Independent Consistent System

A system of the equation to be Independent Consistent System the system must have one unique solution for which the lines of the equation must intersect at a particular.

The correct option is D, there is no solution.

Given to us

4x - 7y = -212x - 21y = -42Equation 1,

4x - 7y = -2

Solving for y,

$-7y = -2 - 4x\\\\7y = 2 + 4x\\\\y =\dfrac{2 + 4x}{7}\\$

Equation 2,

12x - 21y = -42

Substituting the value of y,

$12x - 21(\dfrac{2 + 4x}{7}) = -42\\\\12x - 3 (2+4x)= -42\\12x -6 -12x=-42\\12x-12x = -42+6\\0 = -36$

As the value of x is undefined, therefore, the system of the equation will have no solution. and the lines of the equation will be parallel to each other.

Verification

We can verify the solution by plotting the graph of the equations.

Hence, the correct option is D, there is no solution.

Learn more about System of equation:

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Answer from: flowersthomas1969

4x - 7y = -2....multiply by -3
12x - 21y = -42
------------------
-12x + 21y = 6 (result of multiplying by -3)
12x - 21y = -42
----------------add
0 = - 36 (incorrect)
This system has no solution <=
What is the solution to the system of equations below? 4x - 7y = -2 12x - 21y = -42 a) the ordered

What is the solution to the system of equations below? 4x - 7y = -2 12x - 21y = -42 a) the ordered

Answer from: Quest

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step-by-step explanation:

Answer from: Quest

Step 1: 6x-10=1; step 2: 6x=11

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