Professor McGonagall presented the pair of equations shown below: y = 6x − 10
y = 2x − 2

Part A: Explain to Professor McGonagall how you will solve the pair of equations by using either substitution or elimination. Show all the steps you use and write the solution in (x, y) form. (5 points)

Part B: If she asked you to graph the two equations, at what point will the lines representing the two equations intersect? Explain how you know this.

the sum of all the angles in a triangle are equal to 180

so you can add   the 3 given angles together to equal 180:

5y + 2y + 2y = 180

or since all three angles have the same letter, combine the 3 angles to equal 180:

9y = 180

9x

the answer is:

the correct option:

b.

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

then, using placing logarith with base 7 on both sides of the equation, we have:

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

hence, we have that the correct option:

b.

have a nice day!

the answer is 21%.