Question

Help me quick please

Answer 1

Answer:

(6, -4)

Step-by-step explanation:

To solve a linear system of equations graphically, graph the given equations and locate where the two lines intersect. The point of intersection is the solution to a system of linear equations.

Given linear system of equations:

$\begin{cases}y=-x+2\\x-3y=18\end{cases}$

Rewrite the second equation to make y the subject:

$\implies x-3y=18$

$\implies x-18=3y$

$\implies y=\dfrac{1}{3}x-6$

To graph a linear equation, find two points on the line by substituting two values of x into the equation.  Plot the points and draw a straight line through them.

Equation 1

$x=0 \implies y=-(0)+2=2 \implies (0, 2)$

$x=9 \implies y=-(9)+2=-7 \implies (9, -7)$

Equation 2

$x=0 \implies y=\dfrac{1}{3}(0)-6=-6 \implies (0,-6)$

$x=9 \implies y=\dfrac{1}{3}(9)-6=-3 \implies (9,-3)$

From inspection of the graph (see attached), the point of intersection is (6, -4).

Learn more about systems of equations here:

brainly.com/question/27868564

brainly.com/question/27931586