An intersection point, is a shared coordinate. If the equations share a coordinate we can say they are "equal". There are two ways (algebraically) to find this point. Substitution or linear combination. Because the coefficients are different, let's use linear combination
First stack the equations on top of each other.
2x + 3y = 5
3x + 4y = 6
Next let's manipulate one or both of the equations to get coefficients that are equal, but opposite. For this I'm going to turn the coefficient of x into 6 and -6 respectively by multiplying the first equation by 3 and the second by -2 to get
6x + 9y = 15
-6x -8y = -12
Now we can combine the equations with addition and the x's will cancel leaving a single variable (which we can solve)
y = 3
Now plug this back into either original equation to find the x coordinate.
2x + 3(3) = 5
2x + 9 = 5
2x = -4
x = -2.
So your intersection point is (-2,3)
Answer:
The cheapest is the Kenyan tea which costs £1.05 for each 100g.
Step-by-step explanation:
A)
200 g of Kenyan tea costs £2.10
1. Calculate the rate of each gram, by dividing 2.10/200
0.0105 x 100 = £1.05 for each 100g
300 g of Columbian tea costs £3.45
1. Calculate the rate of each gram, by dividing 3.45/300
0.0115 x 100 = £1.15 for each 100g
1. Calculate the rate of each gram, by dividing 1.70/150
150 g of Indian tea costs £1.70
0.01133333333 x 100 = £1.133333333 for each 100g
B) The cheapest is the Kenyan tea which costs £1.05 for each 100g.
Well think of it like this. lets say your teacher made you do this problem -48 - 10. I would just act like 48 is not an negative and add 10. After that I would put the negative back. So the answer would be -58. :P
I would say d that what i got.
