There are 10 different dealerships with 4 different types of vehicles coupe suv truck sedan

Mathematics

1 answer:

e-lub [12.9K]4 years ago

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Part 2 Directions: Solve the matrix equation for "X" and "y" 5 - 2x 6 1 -8 + 2 -8 4. - 13 -13

Karolina [17]

Answer:

The value of x=9 and value of y= -7

Step-by-step explanation:

We need to solve the matrix equation for x and y

We are given:

$\left[\begin{array}{cc}-2x&6\\1&-8\\\end{array}\right] +2\left[\begin{array}{cc}5&-1\\y&6\\\end{array}\right] =\left[\begin{array}{cc}-8&4\\-13&-13\\\end{array}\right]$

First multiply 2 with terms inside the matrix

$\left[\begin{array}{cc}-2x&6\\1&-8\\\end{array}\right] +\left[\begin{array}{cc}10&-2\\2y&12\\\end{array}\right] =\left[\begin{array}{cc}-8&4\\-13&-13\\\end{array}\right]$

Now adding matrices on left side

$\left[\begin{array}{cc}-2x+10&6-2\\1+2y&-8+12\\\end{array}\right] =\left[\begin{array}{cc}-8&4\\-13&-13\\\end{array}\right]\\\left[\begin{array}{cc}-2x+10&4\\1+2y&4\\\end{array}\right] =\left[\begin{array}{cc}-8&4\\-13&-13\\\end{array}\right]$

Now both sides are equal , so we can say that

$-2x+10=-8 \ and \ 1+2y=-13$

Solving equations and finding values of x and y

Finding value of x

$-2x+10=-8 \\-2x=-8-10\\-2x=-18\\x=\frac{-18}{-2}\\x=9$

Finding value of y

$1+2y=-13\\2y=-13-1\\2y=-14\\y=\frac{-14}{2}\\y=-7$

So, value of x=9 and value of y= -7

4 0

3 years ago

Solve each system by elimination by multiplying both equations. Eliminate "y" first. Show all work.

Damm [24]

We have the 2 equations
1- ) 5x-8y=6
2-) -6x-3y=18
multiplying the first equation by 3 and the second equation by 8 then subtracting
1-) 15x-24y=18
2-) -48x-24y=144

-48x-24y=144
(-) 15x-24y=18
-------------------------------------
-63x = 126
x=-2
substituting in equation 1
5(-2)-8y=6
-10-8y=6
-8y=16
y=-2
the soultion is (-2,-2)

8 0

3 years ago

The equation 1.5r+15=2.25r represents the number r of movies you must rent to spend the same amount at each movie store. How man

Olin [163]

1.5r+15=2.25r
r=20

Hope I could help c:

3 0

4 years ago

Gavin wants to save for a car that costs $12,000. He puts $1,000 into a bank account earning 3% interest compounded annually. Th

SVETLANKA909090 [29]

Answer:

3,000

Step-by-step explanation: