Question

A System of equations is created by using the lies that is created by the equation 3X-2Y= -4 in a line that is created by the data in the table below
What is the Y value of the solution to the system ?

Answer 1

Answer:

y=17

Step-by-step explanation:

System of Equations

We have an explicit equation for x and y

$3x-2y= -4$

The other equation will have to be created by using the data in the table. We only need two points from the table, let's pick (-3,-9) and (-1,-5). The equation can be found by using the formula

$\displaystyle y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

Let's plug in the given points

$\displaystyle y+9=\frac{-5+9}{-1+3}(x+3)$

Simplifying and rearranging:

$2x-y=3$

The other equation forms the system

$3x-2y= -4$

Multiplying the first equation by 3 and the second by -2

$6x-3y=9$

$-6x+4y=8$

Adding both equations

$y=17$

$2x=3+17=20$

The value of x is

$x=10$