How do i solve 4x - 2y = 22 and 2x + 4y = 6 using substitution and elimination?

1 answer:

5 0

substitution and elimination means that you need to use one equation and substitute it in place of some variable in the other equation.

Consider the above two equations.

Take equation 1, which is 4x-2y=22 => x=(22+2y)/4

substitute the x value gained above in equation 2.

so, 2((22+2y)/4)+4y=6

22+2y+8y=12 => 10y = -10 => y= -1.

Substitute y= -1 in x value obtained in the beginning.

So, x= (22 - 2)/4 => 5.

There fore, x= 5 and y= -1

Hope it helps.

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What is the x intercept of the equation that passes through (1,-6) and is perpendicular to y=1/3x +1

fomenos

$\bf y=\stackrel{slope}{\cfrac{1}{3}}x+1\impliedby \textit{slope of this line, so a perpendicular will be}
\\\\\\
\textit{perpendicular, negative-reciprocal slope for}\quad \cfrac{1}{3}\\\\
negative\implies -\cfrac{1}{ 3}\qquad reciprocal\implies - \cfrac{ 3}{1}\implies -3\\\\
-------------------------------\\\\
\begin{array}{ccccccccc}
&&x_1&&y_1\\
&&(~1 &,& -6~)
\end{array}$

$\bf slope = m\implies -3
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-(-6)=-3(x-1)
\\\\\\
y+6=-3x+3\implies 0+6=-3x+3\implies 3=-3x\implies \cfrac{3}{-3}=x
\\\\\\
-1=x\qquad \qquad \qquad \qquad \qquad \qquad \qquad (~-1~,~0~)$

8 0

3 years ago

how many wall are there in your room? what are the shape of the floor and ceiling in your room ? how can you find the area of ea

Triss [41]

My room is made up of four walls, both the floor and the ceiling are rectangular in shape.

There are four walls in my room.
The shape of the floor is a rectangle and given that the ceiling is the same form above the floor, it is also shaped as a rectangle.

To get the area of a rectangle, you use this formula since my floor and ceiling are rectangle.

Area = L * W

where

L = length

W= width

But if you have a square floor and ceiling, the area of a square is

Area = s²

given that it is side * side.

In conclusion, there are 4 walls in every room. The shape of the ceiling or floor could be a rectangle or a square. It depends on your room and its measurements. To get the area, multiply the length by the width.