Question

Question 2

Answer 1

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:

$-43x + 4 = -23x - 2$

Collect the like terms

$-43x+23x=-2-4\\-20x=-6\\x=\frac{3}{10}$

Substitute  $x=\frac{3}{10}$ into the value of y above to have:

$y=-23(\frac{3}{10} )-2\\y=\frac{-69}{10}-2\\y=-6.9-2\\y=-8.9$

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: brainly.com/question/19143340