Answer:
(- 2, - 1 )
Step-by-step explanation:
Given the 2 equations
2x - 3y = - 1 → (1)
x + 4y = - 6 → (2)
Rearrange (2) expressing x in terms of y by subtracting 4y from both sides
x = - 6 - 4y → (3)
Substitute x = - 6 - 4y into (1)
2(- 6 - 4y) - 3y = - 1 ← distribute and simplify left side
- 12 - 8y - 3y = - 1
- 12 - 11y = - 1 ( add 12 to both sides )
- 11y = 11 ( divide both sides by - 11 )
y = - 1
Substitute y = - 1 into (3) for corresponding value of x
x = - 6 - 4(- 1) = - 6 + 4 = - 2
Solution is (- 2, - 1 )
Answer:
17.5
Step-by-step explanation:
Given that the variables x and y have a proportional relationship.
i.e. y is directly proportional to x or can be written as
y = mx where m is the constant of proportionality.
When x =2, y =7
Substitute this to get the value of m.
7 =2m or m = 3.5
Thus the relationship between x and y is
y = 3.5x
So when x=5, y = 3.5(5) = 17.5
Answer:
He needs to sell 100 souvenirs
Step-by-step explanation:
We want to know the number of souveniers John has to sell
Let the number of souveniers he sold at the game be s
At a rate of $0.25 per souvenier, the amount earned on souveniers for s souveniers will be:
Now, if we added this to the amount he earns per game, we will have the total $35 earned for working at one game.
Thus, mathematically:
