Answer:
The Amin's score in math was 46.
Step-by-step explanation:
The question is:
The average math score for Amin, azman and aziz is 73. Azman marks 35 more than Amin while aziz is twice that of Amun. What is Amin's sign?
Solution:
Let us denote that:
<em>x</em> = Amin's score in math
<em>y</em> = Azman's score in math
<em>z</em> = Aziz's score in math.
The average of <em>x</em>, <em>y</em> and <em>z</em> is, 73.
That is:
Now it is provided that:
Use the equations (i) and (ii) to determine the value of <em>x</em> as follows:
Thus, the Amin's score in math was 46.
Furthest from 0, so I am going to take the absolute value of these numbers. The absolute value will tell us how far away from 0 these numbers are.
|-1/2| = |- 0.5| = 0.5
|8/9| = |0.88| = 0.88
|0.2| = 0.2
so the number furthest from 0 is 8/9
First thing you should do is reduce coefficients.
1st equation has all multiples of '2'. Divide by 2
---> x +3y = -6
2nd equation has multiples of 5. Divide by 5.
---> x - y = 2
Now elimination part is easier.
Eliminate 'x' variable by subtracting 2nd equation from 1st.
x + 3y = -6
-(x - y = 2)
----------------------
4y = -8
Solve for 'y'
4y = -8
y = (-8)/4 = -2
Substitute value for 'y' back into 2nd equation:
x - (-2) = 2
x + 2 = 2
x = 0
Solution to system is:
x=0, y =-2
