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Graph the system of equations on graph paper.

{4x+3y=122x+3y=−6

Which statements are true about the solution to the system of equations?

Select each correct answer.



1.The y-coordinate of the solution is 9.
2.The x-coordinate of the solution is 8.
3. The ordered pair that is the solution to the system lies in Quadrant I .
4.The x-coordinate of the solution is 9.
5. The y-coordinate of the solution is −8 .
6.The ordered pair that is the solution to the system lies in Quadrant IV .

Respuesta :

zrh2sfo
4. The x-coordinate of the solution is 9.
5. The y-coordinate of the solution is −8 .
6.The ordered pair that is the solution to the system lies in Quadrant IV .

Proof:

Solve the following system:
{4 x + 3 y = 12 | (equation 1)
{2 x + 3 y = -6 | (equation 2)

Subtract 1/2 × (equation 1) from equation 2:
{4 x + 3 y = 12 | (equation 1)
{0 x+(3 y)/2 = -12 | (equation 2)

Multiply equation 2 by 2/3:
{4 x + 3 y = 12 | (equation 1)
{0 x+y = -8 | (equation 2)

Subtract 3 × (equation 2) from equation 1:
{4 x+0 y = 36 | (equation 1)
{0 x+y = -8 | (equation 2)

Divide equation 1 by 4:
{x+0 y = 9 | (equation 1)
{0 x+y = -8 | (equation 2)

Collect results:

Answer:  {x = 9 , y = -8
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MrRoyal

A system of equations is simply a collection of multiple equations that are either consistent, inconsistent, dependent or independent.

The true statements about the system of equations are (4), (5) and (6)

The system of equations

The system of equations is given as:

  • 4x + 3y = 12
  • 2x + 3y = -6

Graphing the equations

Next, we plot the graph of both equations (see attachment)

Using the attached graph, the true statements are:

  • 4. The x-coordinate of the solution is 9.
  • 5. The y-coordinate of the solution is −8 .
  • 6. The ordered pair that is the solution to the system lies in Quadrant IV.

Read more about system of equations at:

brainly.com/question/14323743

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