Question

A pair 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) HELP 69 PTS

Answer 1

Here's the first part:

y = 8x - 9  --(i)
y = 4x - 1 -- (ii)

then in eqn( i),
 4x - 1 = 8x -9   (from eqn( ii) )
 -1 +9 = 8x -4x
8 = 4x
x =2 

then in eqn (i),
y = 8*2 -9
   = 16 -9
   = 7

The 2nd part:

When these two equations are graphed, at point (2,7) the lines representing the two equations intersect because these values (2,7) satisfies the given equations.