What is the solution for the system of equations? Use the substitution method to solve. Y=5−3x5x−4y=−3 Enter your answer by fill
1 answer:
Using the substitution method to solve the linear system the value of x and y is 1 and 2 respectively.
<h3>What is the linear system?</h3>It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width.
Given
The equations are shown below.
y = 5 - 3x .....1
5x - 4y = -3 .....2
Substitute equation 1 in equation 2. Then
Then substitute the value of x in equation 1.
Thus, the value of x and y is 1 and 2 respectively.
More about the linear system link is given below.
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Answer:
The area of the neighborhood in which they are advertising is 8.75 km²
Step-by-step explanation:
The coordinates of the street corners are;
(3, 15), (6, 4) and (11,9)
Therefore;
The distance between each street corner are found using the following formula;
Substituting, using an online tool, we find the distances;
Between (3, 15) and (6, 4), d = √32.5 km
Between (6, 4) and (11,9), d = √12.5 km
Between (3, 15) and (11,9), d = 5 km
The area is given by Heron's formula as follows;
Where;
s = (√32.5 + √12.5 + 5)/2
a = √32.5
b = √12.5
c = 5
Substituting (using an online tool) the values gives;
A = 8.75 km²
The area of the neighborhood in which they are advertising is 8.75 km²