Answer:
The solution set is (2,4).
Step-by-step explanation:
Given that:
−2x + 2y =4 Eqn 1
−4x + 8y =24 Eqn 2
Multiplying Eqn 1 by -2
-2(-2x+2y=4)
4x-4y= -8 Eqn 3
Adding Eqn 2 and 3
(-4x+8y)+(4x-4y)=24-8
-4x+8y+4x-4y=16
4y=16
Dividing both sides by 4
![\frac{4y}{4}=\frac{16}{4}\\y=4](https://tex.z-dn.net/?f=%5Cfrac%7B4y%7D%7B4%7D%3D%5Cfrac%7B16%7D%7B4%7D%5C%5Cy%3D4)
Putting y=4 in Eqn 1
-2x+2(4)=4
-2x+8=4
-2x=4-8
-2x=-4
Dividing both sides by -2
![\frac{-2x}{-2}=\frac{-4}{-2}\\x=2](https://tex.z-dn.net/?f=%5Cfrac%7B-2x%7D%7B-2%7D%3D%5Cfrac%7B-4%7D%7B-2%7D%5C%5Cx%3D2)
Hence,
The solution set is (2,4).
Answer:
$2.70
Step-by-step explanation:
To add 45 percent to the original price you do 100%+45%=145%=1.45
times 1.45 by the original price.
Then take away the original price from the answer you just got.
$1.45×$6=$8.70
$8.70-$6=$2.70
The difference between two numbers are
and numbers are
and
so the equation is ![x-y=3](https://tex.z-dn.net/?f=x-y%3D3)
How to find the equation and what is the equation ?
equation, statement of equality between two expressions consisting of variables and/or numbers. In essence, equations are questions, and the development of mathematics has been driven by attempts to find answers to those questions in a systematic way.
if the difference of two numbers are ![3](https://tex.z-dn.net/?f=3)
And one number is
and another is ![y](https://tex.z-dn.net/?f=y)
So we write the equation with operation of subtraction
![x-y=3](https://tex.z-dn.net/?f=x-y%3D3)
Learn more about the equations here :
brainly.com/question/28048736
#SPJ4
Answer:
Step-by-step explanation:
A school has two computer labs and each lan has 30 computers. This means that the total number of computers is the sum of the number of computers in each lab
Total number of computers = 30+30 = 60
A total of six computers in the school or not working.
The expression that can be used to find the number of working computers in the school will be
Let the number of computers that are working be x
the number of computers that are working is total number of computers minus the number of computers that are not working be
The expression that can be used to find the number of working computers in the school will be
x = 60 - 6
x = 54
Answer:
(-8, 6)(-8, 6)
Step-by-step explanation:
The formula for 180 degree rotation is (-x, -y)