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A pair of equations is shown below:

y = 7x − 8
y = 5x − 2

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)

Respuesta :

jcherry99

Remark

I would definitely use substitution. The ys are all by themselves on the left. Substitution is the easiest way to go.


y = 7x - 8

y = 5x - 2 Since the left sides are the same you can equate the 2 right sides.


7x - 8 = 5x - 2 Subtract 5x from both sides.

7x - 5x - 8 = - 2

2x - 8 = - 2 Add 8 to both sides.

2x = -2 + 8

2x = 6

x = 6/2

x = 3


Now find y

You can use either equation.

y = 5x - 2

y = 5*3 - 2

y = 15 - 2

y = 13


The point of graphing the two equations is to show that the graph agrees with the algebra. When you graph these two the equations should meet at (3,13)




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