Systems of equations 2x+2y=16 2x+6y=28

2 answers:

4 0

2x+2y=16
2x+6y=28

all you have to do is subtract to get rid of the 2x and solve for y

2x+2y = 16
-2x-6y = -28
---------------------------
0 -4y = -12
y = 3

now we got y we can plug in or do the systems of equation again and find x. lets do systems of equations again.

2x+2y=16
2x+6y=28

this time i am going to multiple the top by -3 and then add the equations hopefully it is clear why I multiple by -3

-3(2x+2y = 16)
2x +6y = 28

-6x - 6y = -48
2x +6y = 28
------------------------
-4x + 0y = -20

x = 5

lara31 [8.8K]4 years ago

3 0

2x+2y=16
2x+6y=28we multiply one side negative sing 2x+2y=16
-2x-6y=-28
now add both equation 'x' will be gone
-4y=-12
each side divide by { -4 }
y=3now we get 'Y' then we looking for 'X'
take 3 then blog in one of the orginal equation
2x+2(3)=16
now solve 'X'
2x+6=16
number 6 move to the left side
2x=10
divide each side by 2
x=5
your answer is { Y=3 , X=5 } I THINK YOU UNDERSTAND WHAT I DID. GOOD LUCK

You might be interested in

In an effort to determine whether any correlation exists between the price of stocks of airlines, an analyst sampled six days of

vovikov84 [41]

Answer:

Check the explanation

Step-by-step explanation:

Following table shows the calculations:

Delta, X Southwest , Y X^2 Y^2 XY

45.96 38.76 2112.3216 1502.3376 1781.4096

46.8 45.41 2190.24 2062.0681 2125.188

47.93 15.7 2297.2849 246.49 752.501

51.78 49.58 2681.1684 2458.1764 2567.2524

52.17 44.34 2721.7089 1966.0356 2313.2178

47.36 18 2242.9696 324 852.48

Total 292 211.79 14245.6934 8559.1077 10392.0488

Sample size: n =6

Now

$S_{yy}=\sum y^{2}-\frac{\left (\sum y \right )^{2}}{n}=1083.27$

$S_{xx}=\sum x^{2}-\frac{\left (\sum x \right )^{2}}{n}=35.03$

$S_{xy}=\sum xy-\frac{\left (\sum x \right )\left (\sum y \right )}{n}=84.94$

The coefficient of correlation is :

$r=\frac{S_{xy}}{\sqrt{S_{xx}S_{yy}}}=0.436$

7 0

4 years ago

Using {0,1,3,4,5,6,9}, how many four-digit numbers with different digits can be produced between 4000 to 5000, if the numbers mu

bogdanovich [222]

Answer:18

Step-by-step explanation:

8 0

3 years ago

Solve for x. Sqrt8 (Sqrt2 - x) = 11

Alexus [3.1K]

Answer: $\frac{-7\sqrt{2} }{4}$

Step-by-step explanation:

So first, let's get rid of the parentheses. We can multiply it out to get $\sqrt{16}-x\sqrt{8} =11$ . We know that the square root of 16 is ±4, so now our equation is ±4 - $x\sqrt{8}$ =11. I'm guessing since the problem only has one solution it's most likely only positive 4, so let's revise our equation to 4 - $x\sqrt{8}$ =11. We can use inverse operations to make the a little easier to solve: -7= $x\sqrt{8}$ . We divide both sides by $\sqrt{8}$ to get $\frac{-7}{\sqrt{8} } =x$ , which we can rationalize (remove the square root from the denominator so that it's a proper answer) by multiplying by $\frac{\sqrt{8} }{\sqrt{8} }$ (which is equal to one so we can use it) which is equal to $\frac{-7\sqrt{8} }{8}$ . Let's finish this by simplifying it. $\sqrt{8} =2\sqrt{2}$ (2x $2^{2}$ ). We can simplify it further by simplifying the 2, making it $\frac{-7\sqrt{2} }{4}$ .