Question

A pair of equations is shown below: y = 3x − 5 y = 6x − 8 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) Source StylesNormal

Answer 1

Answer:

Intersect/Solution at (1, -2)  

step by step

Equation 1: y = 3x - 5

Equation 2: y = 6x - 8

Step 1 Mutliply each side of equations one by -2

New Equation 1: -2y = -6x + 10

New Equation 2: y = 6x -8

Add the Equations: -y = +2

Multiply each side by -1 and you'll get that y = -2

Plug in -2 to either equation: -2 = 3x - 5

add 2 to each side 0 = 3x -3

add 3 to each side 3x = 3

divide by 3 and you'll get that x = 1

Step-by-step explanation:

Answer 2

Answer:

Intersect/Solution at (1, -2)

Step-by-step explanation:

Equation 1: y = 3x - 5

Equation 2: y = 6x - 8

Step 1 Mutliply each side of equations one by -2

New Equation 1: -2y = -6x + 10

New Equation 2: y = 6x -8

Add the Equations: -y = +2

Multiply each side by -1 and you'll get that y = -2

Plug in -2 to either equation: -2 = 3x - 5

add 2 to each side 0 = 3x -3

add 3 to each side 3x = 3

divide by 3 and you'll get that x = 1