Answer: (2,3)
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Explanation:
The intersection point of the two lines is where the solution point is located.
The x coordinate of that intersection point is a bit smaller than x = 2, but when rounded to the nearest whole number, we would get to x = 2.
At the same time, the y coordinate of the intersection point is a bit above y = 3, which rounds to this value when rounding to the nearest whole number.
So that's how we get to (2,3)
Answer:
(0,6), and (18,0)
Step-by-step explanation:
2x +6y = 36
6y = -2x +36
y =(-2/6) x+ 36/6
y=(-1/3)x +6
compare this equation to y=mx+b where b is the y-intercept so the
y-intercept is a point at (0, 6)
to find the x-intercept make the equation equal to 0
(-1/3)x+6=0 subtract 6 in both sides
(-1/3)x = -6 cross multiply
-x = 3*-6
x=18 so the
x-intercept is a point at (18,0)
You would do 72 / 6 to find how many y per x which is 12, and multiply that which is 48.
1)
6/b-1=9/7
Add 1 to each side
6/b-1+1=9/7+1
6/b=9/7+7/7
6/b=16/7
Multiply 1/6 to each side
6/b*1/6=16/7*1/6
1/b=16/42
1/b=8/21
b=21/8 or 2 5/8
Check:
6/b-1=9/7
6/21/8-1=9/7
6*8/21-1=9/7
48/21-1=9/7
16/7-1=9/7
16/7-7/7=9/7
9/7=9/7, so x=2 5/8
2)
4/m-8=8/2
Add 8 to each side
4/m-8+8=8/2+8
4/m=8/2+16/2
4/m=24/2
4/m=12
Multiply 1/4 to each side
4/m*1/4=12*1/4
1/m=3
m=1/3
3)
5/6=7n+9/9
5/6=7n+1
7n+1=5/6
Subtract 1 to each side
7n+1-1=5/6-1
7n=5/6-6/6
7n=-1/6
Multiply 1/7 to esvh side
7n*1/7=-1/6*1/7
n=-1/42
4)
4/9=r-3/6
Add 3/6 fo each side
4/9+3/6=r-3/6+3/6
24/54+27/54=r
51/54=r
17/27=r
Hope it help!
