Question

solve for x and y by graphing the system of linear equations. drag the points to move the lines on the graph. then write the solution as an ordered pair. if no solution exists, write
o solution\; if infinite solutions exist, write \infinite solutions\. \

$$\begin{cases} 5x - 5y = -45 \\\\ 10x + 5y = -30 \\end{cases}$$

show your work here (graph section omitted) (x,y)=(-6,6)

Explanation:

Step1: Rewrite equations in slope-intercept form

First equation:
$5x - 5y = -45$
$-5y = -5x -45$
$y = x + 9$

Second equation:
$10x + 5y = -30$
$5y = -10x -30$
$y = -2x -6$

Step2: Find intersection via substitution

Set $x + 9 = -2x -6$
$x + 2x = -6 -9$
$3x = -15$
$x = -5$

Step3: Solve for y using x=-5

Substitute $x=-5$ into $y = x + 9$:
$y = -5 + 9 = 4$

Answer:

$(x,y)=(-5,4)$