Apair 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)

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)

square root of 36/6 = 2.449489743

square root of 16/6 = 1.632993162

square root of 6 = 2.449489743

the answer is square root of 16/6 because the square root of 36/6 is the same answer as square root of 6 = 2.449489743

if the probability is 1/12, 75 people will receive a $25 gift card

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