Which two equations are parallel?
1 answer:
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The system of equations have no solution.
Explanation:
The equations are and
To find the two numbers, let us solve the equations using substitution method.
From the equation , let us determine the value of r,
Let us substitute the value of r in , we get,
which is not possible.
This means that the system has no solution.
Answer:
<h2>x = 7</h2>Step-by-step explanation:
To find the value of the value of x when
y = 14 we must first find the relationship between them
The statement
The value of y varies directly with x is written as
where k is the constant of proportionality
when x = 218
y = 436
So we have
436 = 218k
Divide both sides by 218
k = 2
So the formula for the variation is
<h2>y = 2x</h2>when y = 14
We have
14 = 2x
Divide both sides by 2
<h3>x = 7</h3>Hope this helps you.
The linear equation is y = 4x - 4
And the graph of the linear equation can be seen in the image below.
<h3>How to graph the last line?</h3>
It seems that you already are good at graphing, so I will try to explain how to find the equation more in detail.
Remember that a general linear equation is written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
In this case, we know that the y-intercept is -4, then b = -4, replacing that we get:
y = a*x - 4
Now we also can see that this line passes through the point (2, 4), this means that if we evaluate in x = 2, the outcome should be y = 4, replacing that we get:
4 = a*2 - 4
4 + 4 = a*2
8 = a*2
8/2 = a = 4
Then the slope is 4, and the linear equation is:
y = 4x - 4
The graph is below.
If you want to learn more about linear functions:
#SPJ1
