5(x−2)+3(2−x). simplify

Please help.. Please. Is this a positive trend or negative trend or no trend

Eva8 [605]

Answer:

it's a no trend cause its literally nothing but dots

3 0

1 year ago

Solve. 4x−y−2z=−8 −2x+4z=−4 x+2y=6 Enter your answer, in the form (x,y,z), in the boxes in simplest terms. x= y= z=

ladessa [460]

Answer:

(-2, 4, -2)

x=-2, y=4, z=-2.

Step-by-step explanation:

So we have the three equations:

$4x-y-2z=-8\\-2x+4z=-4\\x+2y=6$

And we want to find the value of each variable.

To solve this system, first look at it and consider what you should try to do.

So we can see that the second and third equations both have an x.

Therefore, we can isolate the variables for the second and third equation and then substitute them into the first equation to make the first equation all xs.

Therefore, let's first isolate the variable in the second and third equation.

Second Equation:

$-2x+4z=-4$

First, divide everything by -2 to simplify things:

$x-2z=2$

Subtract x from both sides. The xs on the left cancel:

$(x-2z)-x=2-x\\-2z=2-x$

Now, divide everything by -2 to isolate the z:

$z=-\frac{2-x}{2}$

So we've isolated the z variable. Now, do the same to the y variable in the third equation:

$x+2y=6$

Subtract x from both sides:

$2y=6-x$

Divide both sides by 2:

$y=\frac{6-x}{2}$

Now that we've isolated the y and z variables, plug them back into the first equation. Therefore:

$4x-y-2z=-8\\4x-(\frac{6-x}{2})-2(-\frac{2-x}{2})=-8$

Distribute the third term. The -2s cancel out:

$4x-(\frac{6-x}{2})+(2-x)=-8$

Since there is still a fraction, multiply everything by 2 to remove it:

$2(4x-(\frac{6-x}{2})+(2-x))=2(-8)$

Distribute:

$8x-(6-x)+2(2-x)=-16\\8x-6+x+4-2x=-16$

Combine like terms:

$8x+x-2x-6+4=-16\\7x-2=-16$

Add 2 to both sides:

$7x=-14$

Divide both sides by 7:

$(7x)/7=(-14)/7\\x=-2$

Therefore, x is -2.

Now, plug this back into the second and third simplified equations to get the other values.

Second equation:

$z=-\frac{2-x}{2}\\ z=-\frac{2-(-2)}{2}\\z=-\frac{4}{2}\\z=-2$

Third equation:

$y=\frac{6-x}{2}\\y=\frac{6-(-2)}{2}\\y=\frac{8}{2}\\y=4$

Therefore, the solution is (-2, 4, -2)

3 0

2 years ago

Read 2 more answers

Phil has to put the greatest number of apples and oranges in each of box so each box have the same number of apples and oranges

Andrews [41]

Least common multiple

4 0

2 years ago

B = 3m + 2p<br> Work out the value of p when B= 2 and m = 5

GarryVolchara [31]

This is called a "substitution problem" is where you have variable that have defined values and plug them in value calculate the expression.

B = 3m + 2p # Starting equation

2 = (3)(5) + 2p # Substitution

2 = 15 + 2p # Multiplication

-13 = 2p # Subtract 15 from both sides

$\frac{-13}{2}$ = p # Divide both sides from 2

p = $\frac{-13}{2}$ # Use the reflexive property of equality

Hope this helps!

6 0

2 years ago

Read 2 more answers

Genise is making cookies. She needs 1 1/2 cups of flour for one batch, but she wants to make 2 1/2 batches. Write an equation th

nikklg [1K]

"She needs 1.5 cups of flour for 1 batch, but she wants to make 2.5 batches."

This means that she needs 7.5 cups of flour for 5 batches.

Hence, she needs 3.75 cups of flour for 2.5 batches.

5 0

2 years ago