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 .

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.

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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:

  {x = 9 , y = -8

Step-by-step explanation:

a)

Twice of a number added to 5.

Let the number be n.

Twice of the number: 2n

Twice of the number added to 5:

b)

Difference of squares of m and n multiplied by 6.

Difference of squares:

Difference of squares multiplied by 6:

c)

r cubed minus y squared

r cubed:

y squared:

r cubed minus y squared:

d)

Five times of x raised to the power of 5 added to twice of y cubed

Five times of x raised to the power of 5:

Twice of y cubed:

Five times of x raised to the power of 5 added to twice of y cubed: