Add 8 to both sides which would give you x/3=-4 and then multiply by 3 which would give you x= -12
Answer:
Step-by-step explanation:
Hi there!
Linear equations are typically organized in slope-intercept form: where <em>m</em> is the slope and <em>b</em> is the y-intercept (the value of y when x=0)
Perpendicular lines always have slopes that are negative reciprocals. For example, 2 and -1/2. 3/4 and -4/3.
To determine whether a line is perpendicular to , we must first determine its slope. Rearrange the given equation into slope-intercept form:
From this, we can clearly tell that the slope (<em>m</em>) of the line is .
The negative reciprocal of is 2. Therefore, the slope of a perpendicular line would be 2.
Therefore, the correct answer option would be .
I hope this helps!
1. 5m+3n=41
3m-6n=9 (multiplying the first equation by 3 and the second by 5), we get;
15m+9n=123
15m-30n= 45 (subtracting the two equations)
39n = 78
n = 2, and
to get m we substitute n with 2
3m = 9+6(2)
3m = 21
m = 7
Therefore, n=2 and m=7
2. 6g +8h=40
-6g +2h = -20(Adding the two equations to eliminate g)
10 h= 20
h =2
to get g we substitute h with two
6g= 40- 8(2)
= 24
g= 4
Therefore, g =4 and h =2
3. 9x +5y =35
2x + 5y =0 (subtracting the two equations to eliminate y)
7x =35
x= 5
To get y we substitute x with 5
5y=35-9(5)
5y = -10
y = -2
Therefore, x=5 and y=-2