Top equation, minus 10 both sides to get
3x-2y=-10
bottom equation, minus 4x both sides
5y-4x=8
-4x+5y=8
now elimiate y's
multiply top equation by 5 and bottom equaiton by 2 and add them together
15x-10y=-50
<u>-8x+10y=16 +</u>
7x+0y=-34
7x=-34
divide both sides by 7
x=-34/7
sub back
3x-2y=-10
3(-34/7)-2y=-10
(-102/7)-2y=-10
add (102/7) to both sides
-2y=-10+(102/7)
-2y=(-70/7)+(102/7)
-2y=32/7
divide both sides by -2, or times both sides by -1/2
y=-32/14
y=-16/7
(x,y)
(-34/7,-16/7)
Answer:
-6
Step-by-step explanation:
The equation 2x-12y=168 is in standard form so in order to dtermine the slope you need to convert it to slope-intercept form.
1. subtract 2x from both sides.
-12y=-2x+168
2. divide all terms by -12 (to isolate the y)
y=1/6x-14
3. the equation of a line that is the perpendicular is the opposite and reciprocal of the given slope.
the opposite of 1/6 is -1/6.
The reciprocal of -1/6 is -6/1 OR -6.
-6 is the slope of a line pependicular to 2x-12y=168.
Hope this helps.
In the picture you can find the simplied forms of the equations.
