Answer:
x=-2, y=-2. (-2, -2).
Step-by-step explanation:
2x-5y=6
-2x+10y=-16
-------------------
5y=-10
y=-10/5=-2
2x-5(-2)=6
2x+10=6
2x=6-10
2x=-4
x=-4/2=-2
Answer:
x = 9; y = 1
Step-by-step explanation:
Answer:
Step-by-step explanation:
To solve this, we can use polynomial long division.
Seeing the picture, we first divide x (the variable to the largest degree in x+1) from 2x³. We divide from 2x³ because that is the variable with the largest degree in the polynomial. That is equal to 2x², so we put that on top and subtract (x+1) * (2x²) from the polynomial. Then, we repeat the process, but with x² instead of 2x³, and again with -6x as the variable with the largest degree.
D. .........................
Answer:
x = 24yrs and y = 27yrs
Step-by-step explanation:
Let the age of one of the teachers be x
Let the age of the other teacher be y
From the second sentence;
x + y = 51 ----------(1)
From the first sentence;
x/y = 8/9 ------------(2)
Making y the subject of formula in equation (1) as follows;
y = 51 -x -------------(3)
Substitute (3) into (2) as follows;
x/51- x = 8/9
Cross multiply as follows:
9*x = 8(51- x)
9x = 408 - 8x
Collecting like terms;
9x + 8x = 408
17x = 408
Divide both sides by 17;
x = 24 yrs
Substitute x = 24 into equation (3) as follows;
y = 51 - 24
y = 27 yrs
