The graph shows two lines, A and B.

Mathematics

1 answer:

jeka943 years ago

8 0

When working with two equations (aka a system of equations), the solution is (or the solutions are) where the graphs intersect.

If they intersect once, there's one solution.

If they intersect twice, there are two solutions.

The solution IS the point(s) of intersection.

Every point on a line is also a solution to the equation that makes the line. Since that interseciton point is on both lines, it's a solution for both lines.

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Sauron [17]

Answer:

Here,

-18.3=b+ -8.3

-18.3+8.3=b

-10=b

the value of b is -10.

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We'll first simplify both sides of the expression to get (simply using the distributive property):
$4n-20+2=3n-3$

Then, we can simplify a little bit:
$4n-18 = 3n-3$

To solve for n, we have to isolate it. Let's subtract 3n from both sides to further simplify it:
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And that's your answer. If you have questions on how I got that, feel free to ask!

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What is the solution to the system of equations? Y=2x-3.5 X-2y=-14

GuDViN [60]

( 7, 10.5 )

Solution:

y = 2x - 3.5
x - 2 y = -14

Plug the first equation into the second equation like so;
x - 2 ( 2x - 3.5 ) = -14
Distribute -2 to 2x and -3.5

Your equation should now look like this:

x - 4x + 7 = -14
You want common numbers to be in the same side so you subtract 7 from both sides

x - 4x + 7 - 7 = -7 - 14

Now simplify both sides

x - 4x = -3x
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In order to solve for x you need to get x by itself, so you divide both sides by -3

-3x / -3 = x
-21 / -3 = 7
x = 7

In order to solve for y you need to plug x in
(You can plug it into either equation, but I'm plugging it into the first one)

y = 2 (7) - 3.5
y = 14 - 3.5
y = 10.5

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