All categories

1 year ago

HELP Solve the following systems using the elimination method. 5x+2y = -16 4x-2y = 16

Mathematics

2 answers:

velikii [3]1 year ago

3 0

Answer:

x= 0 , y= -8

Step-by-step explanation:

Add the 2 equations together, you would get:

9x = 0

Divide both sides by 9:

x = 0/9

x=0

Substitute the value of x in one of the equations to get the value of y, I picked the first one (5x+2y = -16)

5(0) +2y = -16

0+2y = -16

2y = -16

Divide both sides by 2:

y = -8

Lilit [14]1 year ago

3 0

2y - 2y (can Lea each other our)
Add 5x + 4x = 9x
-16 + 16 = 0
9x / 0
X=0

You might be interested in

Jess is 12 years less than half as old as Mac. The sum of their age is 87. How old is each person?

laila [671]

Answer:

The age of each person is:

Jess is 21 years old.
Mac is 66 years old.

Step-by-step explanation:

To solve this problem you must make two equations. First, we name Jess and Mac as variables:

j = Jess age.

m = Mac age.

Now we make the equations, the first equation has the information "Jess is 12 years less than half as old as Mac":

1. $j=(\frac{m}{2})-12$

The second equation has the information "The sum of their age is 87":

2. $j+m=87$

Now, we replace the first equation in the second one:

$(\frac{m}{2}-12) +m=87$

And we operate:

$\frac{m-24}{2} +m=87$
$\frac{m-24+2m}{2}=87$
$\frac{3m-24}{2}=87$

We clear the variable m:

$3m-24=87*2$
$3m=174+24$
$m=\frac{198}{2}$
$m=66$

How we know Mac's age is 66 years old, we can identify Jess' age with the second equation:

$j+m=87$

We replace the value of m:

$j+66=87$

And clear the variable j:

$j=87-66$
$j=21$

In the end, Jess's age is 21 years old.

4 0

2 years ago

Evaluate (-12)(-2) ^2

vazorg [7]

Answer:

- 48

Step-by-step explanation:

by PEDMAS, we evaluate the exponent first before the multiplication

(-12)·(-2)²

= (-12)·(4)

= - 48

7 0

2 years ago

Katie has $120 on her cafeteria cardka. everytime she orders a meal , $4.50 is deducted from the

Scrat [10]

Answer:

120-4.50 = 115.10

Step-by-step explanation:

She will have $115.10 left if she buys one mean

8 0

2 years ago

Read 2 more answers

Answer this questions right and i will give you Brainliest, Thanks, and 5 stars and thanks on profile.

katen-ka-za [31]

Answer:

1. k=5

2. a= -7

3. n=4

4. n=1

5.x=0

6. r= -4

7. b=31

8.n= -3

3 0

2 years ago

Easy + brainliest 2x(^3) + 10x(^2) − 4x(^2)y − 20xy factor this pls, (show all work)

Dimas [21]

Answer:

Answer:

2x • (x2 - 2xy + 5x - 10y)

Step-by-step explanation:

Step 1 :

Equation at the end of step 1 :

(((2•(x3))+(10•(x2)))-(22x2•y))-20xy

Step 2 :

Equation at the end of step 2 :

(((2 • (x3)) + (2•5x2)) - 22x2y) - 20xy

Step 3 :

Equation at the end of step 3 :

((2x3 + (2•5x2)) - 22x2y) - 20xy

Step 4 :

Step 5 :

Pulling out like terms :

5.1 Pull out like factors :

2x3 - 4x2y + 10x2 - 20xy =

2x • (x2 - 2xy + 5x - 10y)

Final result :

2x • (x2 - 2xy + 5x - 10y)

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers