School x and school y play each other in a competition. School X has 8 more points than school Y. School X has 3 times as many p
2 answers:
Answer:
Let the points for School X be a
and for the School Y be b.
From the given condition : School X has 8 more points than school Y.
we have;
a = b+8 ......[1]
Also, School X has 3 times as many points as school Y, which implies
a = 3b ......[2]
Substitute the value a of [2] in [1]; to solve for b;
we have;
3b=b+8
Subtract b from both sides of an equation we get;
3b-b=b+8-b
Simplify:
2b=8
Divide by 2 from both sides of an equation we get;
Simplify:
b=4
Substitute the value of b in equation [2];
Therefore, School X has 12 points and School Y has 4 points.
You might be interested in
If it is a Reflection you use-
X-axis: (x,-y)
y-axis: (-x, y)
y=x: (y, x)
y=-x: (-y, -x)
Rotations:
90 degree clockwise/ 270 degree counterclockwise is (y, -x)
180 degree is (-x, -y)
270 degree clockwise/ 90 degree counterclockwise is (-y, x)
Dilations are when it is multiplied by a number. So lets say your operation is dilated by 2. It will be (2x, 2y).
Last but not least is Translations. This is when it is added or subtracted to your operation. This means it goes up or down and left or right on your graph. Left and right are X, up and down are Y. Lets say we want to go up 2 and left 3. It will be (x-3, y+2).
X-axis: (x,-y)
y-axis: (-x, y)
y=x: (y, x)
y=-x: (-y, -x)
Rotations:
90 degree clockwise/ 270 degree counterclockwise is (y, -x)
180 degree is (-x, -y)
270 degree clockwise/ 90 degree counterclockwise is (-y, x)
Dilations are when it is multiplied by a number. So lets say your operation is dilated by 2. It will be (2x, 2y).
Last but not least is Translations. This is when it is added or subtracted to your operation. This means it goes up or down and left or right on your graph. Left and right are X, up and down are Y. Lets say we want to go up 2 and left 3. It will be (x-3, y+2).