Answer:
x=5, y=1
Step-by-step explanation:
First, you need to multiply both sides of the second equation by -1 so that you can proceed the elimination process. Like this...
x + y = 6
x - 4y = 1
x + y = 6
-x + 4y =- 1
Now you can eliminate the x variable by addition process. It becomes like this...
x + y = 6
-x + 4y =- 1
5y=5
y = 1
Now, let's proceed substitution process. You can substitute the value of y into any equation that you want. I want to put the value of y into the equation of x + y = 6
.
When y=1, substitute into x + y = 6
x + 1 = 6
x = 6-1
x = 5
Hooray! Now you have the value of x and y.
x= 1 and y=5.
I hope you will understand my explanation. Bye!
The two lines intersect at (-3,4)
-2/3X+2= -2X-2
Add 2X to both sides
Subtract 2 from both sides
Divide both sides by 4/3
You get X=-3
Plug in 3 to one of the equations and you’ll see that y= 4
Answer: A, B, E, and F
Step-by-step explanation:
Surface area relates to anything that doesn’t hold depth.
Answer:
5/4 or 1 1/5
Step-by-step explanation:
remove the zeros and you get 5/4 or 1 1/5
We have two unknowns: x and y. Now, we have to formulate 2 equations. The first would come from the use of the given ratio:
We use the distance formula to find the distance between coordinates:
3/4 = √[(x-4)²+(y-1)²] / √[(4-12)²+(1-5)²]
√[(x-4)²+(y-1)²] = 3√5
(x-4)²+(y-1)² = 45
x² - 8x + 16 + y² - 2y + 1 = 45
x² - 8x + y² - 2y = 28 --> eqn 1
The second equation must come from the equation of a line:
y = mx +b
m = (5-1)/(12-4) = 1/2
Substitute y=5 and x=12 for point (12,5)
5 = (1/2)(12) + b
b = -1
So, the second equation is
y = 1/2x -1 or x = 2 + 2y --> eqn 2
Solving the equations simultaneously:
(2 + 2y)² - 8(2 + 2y) + y² - 2y = 28
Solving for y,
y = -2
x = 2+2(-2) = -2
Therefore, the coordinates of point A is (-2,-2).
