1)
I:x-y=-7
II:x+y=7
add both equations together to eliminate y:
x-y+(x+y)=-7+7
2x=0
x=0
insert x=0 into II:
0+y=7
y=7
the solution is (0,7)
2)
I: 3x+y=4
II: 2x+y=5
add I+(-1*II) together to eliminate y:
3x+y+(-2x-y)=4+(-5)
x=-1
insert x=-1 into I:
3*-1+y=4
y=7
the solution is (-1,7)
3)
I: 2e-3f=-9
II: e+3f=18
add both equations together to eliminate f:
2e-3f+(e+3f)=-9+18
3e=9
e=3
insert e=3 into I:
2*3-3f=-9
-3f=-9-6
-3f=-15
3f=15
f=5
the solution is (3,5)
4)
I: 3d-e=7
II: d+e=5
add both equations together to eliminate e:
3d-e+(d+e)=7+5
4d=12
d=3
insert d=3 into II:
3+e=5
e=2
the solution is (3,2)
5)
I: 8x+y=14
II: 3x+y=4
add I+(-1*II) together to eliminate y
8x+y+(-3x-y)=14-4
5x=10
x=2
insert x=2 into II:
3*2+y=4
y=4-6
y=-2
the solution is (2,-2)
If two fractions have the same numerator, the fraction with the smaller denominator is bigger.
3/8 is bigger.
The most simplified answer is the greatest factor being six. Divide both by six and six is on the outside of parentheses to be equivalent making the answer 6(2s+18r) or -6(-2s-18r) if you used negatives as I would jot down negative and positive
The answer should be answer A. (A,C,D,K)
You can easily figure this out by just looking at the graph. Just look at all points that are in the blue region(overlapping shaded area) and see all the points inside.
H is not included because it falls on the dotted line. Any point that falls on a dotted line does not satisfy both inequalities.
If the line were solid however, then the point would satisfy both inequalities. This is because the line would include the <em>greater than or equal to</em> symbol "≥" which means that the point <em>could</em> equal to 8 or be less than 8. Since the symbol is not used, it doesn't satisfy both equations.
Answer: Sabric is correct because 3.613 is smaller than 3.63. Therefore, –3.613 lies to the left of –3.63 on a number line.
Step-by-step explanation:
Given that:
Sabric's claim = –3.613 > –3.63
Jessica's claim = –3.613 < –3.63
From the claims above, - 3.613 is greater than - 3.63, this is because both numbers are negative and as such moving towards the left hand side of the number line from 0. - 3.613 will be encountered first before - 3.630, which signifies that - 3.613 is greater than - 3.630
