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vagabundo [1.1K]
3 years ago
13

What is { y= 4x+10 and y= 3x+9

Mathematics
2 answers:
Musya8 [376]3 years ago
5 0

Answer:

x=-1

Step-by-step explanation:

y=4x+10

y=3x+9

-----------

4x+10=3x+9

4x-3x=9-10

x=-1

Kaylis [27]3 years ago
4 0
Answer: (-1,6)

Step 1: Rewrite the equations

y=4x+10

y=3x+9

Step 2: Determine method of solving

When solving an equation, there are three ways you can do it:

1) Graphing
2) Substitution
3) Elimination

We will solve this using substitution

Step 3: Solve

When solving with substitution, you substitute the first equation into the second. So, we will get the value of y and substitute into where y is in the second equation.

y=4x+10 and y=3x+9 goes into:

4x+10=3x+9

Now let’s solve.

4x+10=3x+9

*subtract 3x on both sides*

4x+10=3x+9
-3x -3x
_________
x+10=9

*subtract 10 on both sides*

x+10=9
-10 -10
______
x=-1

Now we have the value of x. Let’s substitute this into the first equation and find y.

y=4x+10

y=4(-1)+10

y=-4+10

y=6

Now we have y! The ordered pair of this would be (-1,6). And that’s your answer.

Hope this helps comment below for more questions :)
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jeka94
First, we need to think about what we're actually solving for: the area of the path. To find this, we can find the area of the whole thing, minus the area of the pool.

The diagram would look something like the picture I attached. We know that to find the area of a circle, you do πr^2. The radius is half of the diameter, so halve the diameters:

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Then solve for the area of both circles.
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</span>
Next, subtract the area of the pool from the area of the whole thing to find the area of the walkway:
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Finally, divide the area of the walkway by 6 to see how many gallons of paint you'll need:

424.12 ÷ 6 ≈ 70.69

So you'll need 71 gallons of paint!

Hope I helped and let me know if you have any questions :)


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