Solve systems of equations by substitution for x-2y= -8 and 6x+7y=9

(-2,3)

Step-by-step explanation:

In order to solve the system using substitution, one of the variables must be defined so we can substitute it into the other equation.

We can easily define x in the second first by adding 2y from both sides

x - 2y = - 8

* add 2y to both sides *

x = 2y - 8

Now that we have defined x in the first equation we can plug in the defined value of x into the second equation

6x + 7y = 9

substitute 2y - 8 for x

6 (2y - 8) + 7y = 9

distribute 6 to -2y and -8

6 * 2y = 12y

6 * -8 = -48

12y - 48 + 7y = 9

combine like terms ( 12y + 7y = 19y )

19y - 48 = 9

add 48 to both sides

19y = 57

divide both sides by 19

19y/19 = y and 57/19 = 3

we're left with y = 3

Now that we have found the value of one of the variables we can plug it in to one of the equations ( note that plugging the value of y and solving for x in either equation will lead us to the same answer ) and solve for the other variable (x)

x - 2y = -8

y = 3

x - 2(3) = -8

multiply -2 and 3

x - 6 = -8

add 6 to both sides

x = -2

so x = -2 and y= 3

Therefore the solution to the system of equations is (-2,3)

a

step-by-step explanation:

when a number is between two straight lines it means the absolute value.

to find absolute value you need to know how many numbers is that number away from 0.

when finding absolute value the number will always come out positive

so absolute value of -3 is 3

absolute value of 3/2 is 3/2

absolute value of -2 is 2

absolute value of 3.5 is 3.5

absolute value of -1 is 1

now put these numbers in order:

a)   |-1|, |3/2|, |-2|, |-3|, |3.5|

answer: i ! the answer is   9000 seconds, also d

hope i

-lavira : )