Apair of equations is shown below:

y = 8x − 9
y = 4x − 1

part a: explain how you will solve the pair of equations by substitution or elimination. show all the steps and write the solution. (5 points)

part b: if the two equations are graphed, at what point will the lines representing the two equations intersect? explain your answer. (5 points)

Part A: To solve this problem, I used substitution.

y = 8x - 9

y = 4x - 1

8x - 9 = 4x - 1

First, I will add 9 to both sides to eliminate it from the left side.  The constant on the left side of the equation became 8.

8x - 9 + 9 = 4x - 1 + 9

8x = 4x + 8

I will subtract 4x from both sides of the equation.

4x = 8

I will divide both sides by 4 to isolate the variable.

4x/4 = 8/4

x = 2

In this system of equations, x is equal to 2.  I will plug it into the equations to solve for y.

y = 8(2) - 9

y = 4(2) - 1

y = 16 - 9

y = 8 - 1

y = 7

y = 7

In this system of equations, y is equal to 7.  The solution for this system of equations is (2, 7).

Part B: In a system of equations, the ordered pair that satisfies both of the equations is the point of intersection.  (2, 7) is the point of intersection for this system of equations.

option 3 . (5x + 1) - (-10x + 6)

step-by-step explanation:

option 1 :

(4x + 3) + (-9x + 4)

or 4x+3 -9x + 4

or -5x + 7

option 2

(x - 2) - (6x - 9)

or x-2-6x + 9

or -5x + 7

option 3

(5x+ + 6)

or 5x + 1 + 10x -6

or 15x -5

option 4

-4x+2x+7-3x

-7x + 2x + 7

-5x + 7

hence only option 3 did   not satisfy the given simplify expression.

answer: 4 meters

step-by-step explanation: to you understand 2/3 better you can do 1 divided by 3 = . then multiply that by the 2 which is .66666666666666667 then you would do 6 x .66666666666666667 which is 4.      

hope this .