Answer:
x = -4, y = -4
Step-by-step explanation:
Normally, if it's allowed, I would use a graphing calculator which basically turns the equations (-2x+y=4) and (y=
x-2) into two straight lines, which represent the line of possible values that can fit into the equations. However, since you want the value of x and y in both equations to be the same, you have to look for the intersection of the two graphs. I use desmos.com/calculator to just type in the equations and the lines would be drawn automatically. By hovering over the equation, I can get the two values of x and y (the first value is for x, and the second one is for y).
Here is the working if you want to work it out by hand: (I'm using algebra for this one)
-2x+y=4 -------------------------------- Equation 1
y=x-2 ---------------------------------- Equation 2
Substitute Equation 2 into Equation 1:
-2x+x-2=4
Simplify:
-1x-2=4
-1x=4+2
-1x=6
1x=-6
x=-6
3x=-6×2
3x=-12
x=-12÷3
x=-4 ------------------------------------ Equation 3
Substitute Equation 3 into Equation 1:
-2(-4)+y=4
Simplify:
8+y=4
y=4-8
y=-4
Thus, x=-4, y=-4
Answer:
im getting 148,400 as the answer
Step-by-step explanation:
Answer:
1 over 1 is your answer
Step-by-step explanation:
because your graph tells u the answer everytime if u look it goes up 1 and over 1 each time
Answer:
Step-by-step explanation:
Answer:
Length = 6
Width = 5.5
Step-by-step explanation:
Let's use the variable x to represent the width:
x = width
The question says that the length of the rectangle is "5 ft less than double the width". This length can be represented like this:
2x - 5 = length
To find the area of a rectangle, you multiply the width and length, so we are going to write an equation where we multiply the width and length and set it equal to 33 ft^2, which is the area:
(x)(2x - 5) = 33
Now use basic algebra to solve for x:
2x^2 - 5x = 33
2x^2 - 5x - 33 = 0
2x^2 + 6x - 11x - 33 = 0
(2x^2 + 6x) + (-11x - 33) = 0
2x(x + 3) - 11(x + 3) = 0
(2x - 11) (x + 3) = 0
x = 11/2, -3
x either equals 11/2 or -3. However, remember that x represents the width, and you can't have a negative number for a width, so x = 11/2 or 5.5.
Now plug in 5.5 to the length expression and simplify:
2(5.5) - 5
11 - 5 = 6
The length is 6 and the width is 5.5.
Hope this helps (●'◡'●)
