Question 2

Graph the system of equation on graph paper or in your calculator,

y=−43x+4
y=−23x−2

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

Select EACH correct answer.

Question 2 options:

The ordered pair that is the solution to the system lies in Quadrant I.

The ordered pair that is the solution to the system lies in Quadrant IV.

The x-coordinate of the solution is 8.

The x-coordinate of the solution is 9.

The y-coordinate of the solution is -8.

The y-coordinate of the solution is 9.

The solution to the system of equation is (0.3, -8.9). This shows that the ordered pair that is the solution to the system lies in Quadrant IV.

Given the systems of equations

y=−43x+4

y=−23x−2

We need to get the solution to the system of equation and then graph

Since both expressions have the same output variable, we will equate it to have:

[tex]-43x + 4 = -23x - 2[/tex]

Collect the like terms

[tex]-43x+23x=-2-4\\-20x=-6\\x=\frac{3}{10}[/tex]

Substitute [tex]x=\frac{3}{10}[/tex] into the value of y above to have:

[tex]y=-23(\frac{3}{10} )-2\\y=\frac{-69}{10}-2\\y=-6.9-2\\y=-8.9[/tex]

Hence the solution to the system of equation is (0.3, -8.9). This shows that the ordered pair that is the solution to the system lies in Quadrant IV.

The graph of the equation is attached.

Learn more here: https://brainly.com/question/19143340