The solution of a system of linear equations is where the two lines intersect....

Mathematics

2 answers:

azamat2 years ago

6 0

Answer:

Step-by-step explanation:

True.

There is only 1 intersection point. That is the point where the x and y values are the same for both equations. For example if you have

y = 2x + 5 and

y = 3x + 2

The intersect point is (3,11). If you put 3 in each equation for x, they will return 11 for the y value.

I've included a graph to show you that this is true.

olchik [2.2K]2 years ago

5 0

Answer:

True

Step-by-step explanation:

The place where lines intersect is where the x and y values match up.

Just like this, if the lines do not intersect, there's no solution.

If the lines seem to be one line, there is all real number solutions.

Hope this helped!

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Ainat [17]

<span>(x – h)^2 + (y – k)^2 = r<span>^2

this equation is a derivative of the equation of a circle

x^2 + y^2 = r^2
This is from the origin. If we move the in x or y then the radius will change positions in x or y

with h = -3 and k = 1

we can plug in each set of numbers and solve.

we find Z to be on the circle edge!</span></span>

8 0

3 years ago

Solve the formula for the indicated variable. k=g-d/c for g

Murrr4er [49]

Just like any other variable, we complete the same process

$k = g - \frac{d}{c} \\ k + \frac{d}{c} = g \\ \frac{kc + d}{c} = g \\$
Now we can test it, let's say k=4, d=6, and c=2, let's find the value of g
$4 = g - \frac{6}{2} \\ 4 + 3 = g \\ 7= g$

OR

$\frac{kc + d}{c} = g \\ \\ \frac{(4 \times 2) + (6)}{(2)} = g \\ \frac{14}{2} = g \\ g = 7$

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3 years ago

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3 years ago

The statement "If 1/2x=5, then x=10 is justified by the

Anton [14]

I think it's the Multiplication Property of Equality.

Hope this helps you! :)

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