Solve the following system of equations by elimination. What is the value of x? x = 1.5 x = -1.5 x = 8 x = -8
1 answer:
Using the elimination method, the value of x in the system of equations is calculated as: 8.
<h3>How to Solve a System of Equations by Elimination?</h3>To solve a system of equations given using the elimination method, do the following:
Multiply 2x - 5y = 1 by 2 and multiply -3x + 2y = -18 by 5 to get the following:
4x - 10y = 2 --> eqn. 1
-15x + 10y = -90 --> eqn. 2
Add
-11x = -88
Divide both sides by -11
x = 8
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<u><em>Answer:</em></u>
The initial value is 3
It represents the distance between the bird and its nest before any elapsed time which is 3 miles.
<u><em>Step-by-step explanation:</em></u>
The graph is shown in the attached image.
<u>The general form of a straight line is:</u>
y = mx + c
where:
m is the slope and c is the y-intercept.
The y-intercept is also known as the initial value. It is the value of y at x=0.
From the givens, we can note that at x = 0, the y-value is 3. This means that the y-intercept is 3.
Now, in the problem, x represents the time in minutes while y represents the distance of the bird from the nest in miles.
At x = 0, meaning before any time elapsed, the distance of the bird from its nest was 3 miles.
Hope this helps :)
