87.1k views
0 votes
Assignment in picture need help

Assignment in picture need help-example-1

1 Answer

1 vote

Answer:

5. y = 9

6. x = -6

Explanation:

You want the y-value of the solution to one set of equations, and the x-value of the solution for another set.

5. y-value

It is convenient to eliminate x from the equations by subtracting the second equation from twice the first:

2(y) -(y) = 2(x +4) -(2x -1)

y = 9 . . . . . . . simplify

6. x-value

It is convenient to eliminate y from the equations by adding twice the first equation to the second:

2(y) +(-6x -2y) = 2(-2x +1) +(10)

-6x = -4x +12 . . . simplify

0 = 2x +12 . . . . add 6x (to make the x-coefficient positive)

0 = x +6 . . . . . divide by 2

-6 = x . . . . . . . subtract 6

__

Additional comment

We used elimination to get an equation in the variable of interest. There is no reason why you have to do it this way. The equations in 5 are easily solved by equating the y-expressions: x +4 = 2x -1 ⇒ x = 5 ⇒ y = 5+4 = 9.

You can always solve the equations using your favorite method, unless the solution method is specified for you. A graphical solution is often quick and easy.

Assignment in picture need help-example-1
User Ujesh
by
8.8k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories