Answer:
1. x = 1, y = 2.
12. x = 1, y = -3.
Step-by-step explanation:
I won't do all these for you, just the first and the last. The method is similar for all 12.
1.
y = x + 1
x + y = 3
Substitute y = x + 1 into the second equation:
x + y = 3 so:
x + (x + 1) = 3
2x + 1 = 3
2x + 1 -1 = 3 - 1
2x = 2
x = 1.
Now substitute x = 1 into the first equation to get the value of y:
y = x + 1
y = 1 + 1
y = 2.
12.
4x = y + 7
3x + 4y + 9 = 0
Solve for y in the first equation:
4x = y + 7 Subtract 7 from both sides of the equation:
4x - 7 = y + 7 - 7
y = 4x - 7.
Now substitute y = 4x - 7 in the second equation:
3x + 4y + 9 = 0 so:
3x + 4(4x - 7) + 9 = 0
3x + 16x - 28 + 9 = 0
19x - 19 = 0
19x - 19 + 19 = 0 + 19
19x = 19
x = 19/19 = 1.
Now substitute x = 1 in the first equation:
4x = y + 7
4*1 = y + 7 Subtract 7 from both sides of the equation:
4 - 7 = y + 7 - 7
-3 = y.
Answer:
Collinear occurs when the two points has the same gradient,
So, for this question any line that forms by any three points would be collinear.
Hence, EBF,DGC,MGN,BGA are all collinears
Step-by-step explanation:
I'm going to go with A. but I'm not possitive I'm sorry if that's wrong.
Answer:
Jordan
Step-by-step explanation:
Jordan 5:2 -> 10:4, 15:6 20:8 25:10 50:20 60:24 70:28
Beth 18:7-> 36:14 54:21 72:28
When Both of them add 28 of BLUE paint, Jordan adds only 70 yellow paint, while Beth uses 72 yellow paint. This would make Jordan's green darker.