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ivann1987 [24]
3 years ago
15

I’m not sure how to solve “system of equations”

Mathematics
1 answer:
natka813 [3]3 years ago
7 0

Hey there! :)

Answer:

(2, -2)

Step-by-step explanation:

-2x + y = -6

4x + 3y = 2

We can begin by setting the first equation equal to y:

-2x + y = -6

Add 2x to both sides:

y = 2x - 6

Plug this equation for y into the second equation:

4x + 3(2x - 6) = 2

Distribute:

4x + 6x - 18 = 2

Combine like terms:

10x = 20

x = 2

Plug the value of 'x' into an equation to solve for 'y':

-2(2) + y = -6

-4 + y = -6

y = -2

Therefore, the solution is (2, -2)

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What is the value of the expression? 9^2÷(-3)^0
stiv31 [10]
Step 1. Simplify 9^2 to 81
81 <span>÷ (-3)^0
Step 2. Use Rule of Zero: x^0 = 1
81 </span><span>÷ 1
Step 3. Simplify 
81</span>
5 0
3 years ago
How many triangles can be constructed with side lengths of 9.6 cm, 11.6 cm, and 21.2 cm?
nignag [31]

Answer:  A) 0 triangles

============================================================

Explanation:

Adding up the two smaller sides gets us 9.6+11.6 = 21.2, but this result is not larger than the third side of 21.2

For a triangle to be possible, we need to be able to add any two sides and have the sum be larger than the third remaining side. This is the triangle inequality theorem.

I recommend you cutting out slips of paper with these side lengths and trying it out yourself. You'll find that a triangle cannot be formed. The 9.6 cm and the 11.6 cm sides will combine to form a straight line that is 21.2 cm, but a triangle won't form.

As another example of a triangle that can't be formed is a triangle with sides of 3 cm, 5 cm, and 8 cm. The 3 and 5 cm sides add to 3+5 = 8 cm, but this does not exceed the third side. The best we can do is form a straight line but that's not a triangle.

In short, zero triangles can be formed with the given side lengths of 9.6 cm, 11.6 cm, and 21.2 cm

3 0
2 years ago
−5(2x+1)−2x−2=<br> \,\,17<br> 17
earnstyle [38]

Answer:

here you go;

Step-by-step expl

4 0
2 years ago
Plz explain.
slega [8]
Idk, why does the world need problems like this, not like everyone is going to grow up to be a math teacher.
8 0
3 years ago
Select the correct answer from each drop-down menu.
vazorg [7]

Answer:

Step 1: Distribute -2 to 5x and 8

Step 2: Subtract from both sides of the equation 6x

Step 3: Add to both sides of the equation  16

Step 4: Divide both sides of the equation by -16

Step-by-step explanation:

Step 1: Apply the Distributive Property. Then you must  distribute -2 to 5x and 8

Then:

-2(5x+8)=14+6x\\\\-10x-16=14+6x

Step 2: You must apply the Subtraction property of Equality and subtract 6x from both sides of the equation. Then:

-10x-16-6x=14+6x-6x\\\\-16x-16=14

 Step 3: You must apply the Addition property of Equality and add 16 to both sides of the equation. Then:

-16x-16+16=14+16\\\\-16x=30

Step 4: You must apply the Division property of Equality and divide both sides by -16. Then:

\frac{-16x}{-16}=\frac{30}{-16}\\\\x=\frac{30}{-16}\\\\x=-\frac{15}{8}

6 0
3 years ago
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