A system of equations is shown below. y = –x – 3 5x + 2y = 9 What is the solution to this system?
1 answer:
Answer:
The solution of the system can be given as (5,-8).
Step-by-step explanation:
Given system of equations:
To solve the given system of equations:
Solution:
We will use substitution to solve the given system.
We will substitute the values in terms of
from the equation
into the other equation to solve for
Substituting into
.
We have:
<em>Using distribution.</em>
<em>Combining like terms.</em>
Adding 6 both sides.
Dividing both sides by 3.
∴
<em>Plugging in into
.</em>
We have,
∴
The solution of the system can be given as (5,-8).
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<h2>Hello!</h2><h2>Let me help you.</h2>
As I understand, you need to write an equation that relates . This problem will be solved using equations. The problem states:
<em>Nick bought t candies and divided them equally between his y friends and me. Each of us got 7 candies.</em>
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From this statement, we know that:
t: Number of candies Nick bought.
y: Number of friends.
Since I am included in this problem, the number of people involved here can be expressed as:
Since each of us got 7 candies, then it is true that:
<em>So t (number of candies) is a function of y(number of friends).</em>