Answer:
The value of a is 10.
Step-by-step explanation:
We are given with the following pair of the linear system of equations below;
and
.
Also, the solution is given as (a, -1).
To find the value of 'a', we have to substitute the solution in the equation because it is stated that (a, -1) is the solution of the given two equations.
So, the x coordinate value of the solution is a and the y coordinate value of the solution is (-1).
First, taking the equation;
Put the value of x = a and y = -1;
(-1) = -(a) + 9
a = 9 + 1 = 10
Now, taking the second equation;

Put the value of x = a and y = -1;

0.5a = 6 - 1
0.5a = 5
a = 10
Since we get the value of a = 10 from the equations, so the value of a is 10.
Answer:
Julie's share of the profits is (6/16)($4000) = $1500
Step-by-step explanation:
Write and solve an equation of ratios:
Jane's contrib. $10000 10
---------------------- = -------------- = ------ .
Julie's contrib. $6000 6
Adding 10 and 6 together, we get 16.
Julie's share of the profits is (6/16)($4000) = $1500. Jane would take (10/16)($4000), or $2500.
John sold 18 general admission tickets and 11 VIP tickets.
Step-by-step explanation:
Given,
Cost of each general admission = $50
Cost of each VIP ticket = $55
Total tickets sold = 29
Total revenue generated = $1505
Let,
x represent the number of general admission tickets sold
y represent the number of VIP tickets.
x+y=29 Eqn 1
50x+55y=1505 Eqn 2
Multiplying Eqn 1 by 50

Subtracting Eqn 3 from Eqn 2

Dividing both sides by 5

Putting y=11 in Eqn 1

John sold 18 general admission tickets and 11 VIP tickets.
Keywords: linear equation, elimination method
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Answer:
B
Step-by-step explanation:
Answer:
My student the slope paserea the Pointe 6w and 10,4 is8