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)

Answer 1

THat's the same as saying 3x-5 = 6x - 8. Solve for x, giving you x = 1. Now you plug in x, and get y, which is y = -2.

In order to graph it, you would just use the two values you have now for x and y, and that would be your point that they intersect. (1, -2)

Answer 2

y = 3x - 5
y = 6x - 8
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put the system of linear equations into standard form
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3x - y = 5
6x - y = 8
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copy and paste the above standard form linear equations in to this solver:
https://sooeet.com/math/system-of-linear-equations-solver.php
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solution by matrix method:
x = 1
y = -2
the lines intersect at the point (1,-2)
by definition, the solution of a system of linear equations is the point of intersection (if any) of the lines
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solve by elimination:
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3x - y = 5
(6x - y = 8)*(-1)
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3x - y = 5


-6x + y = -8
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add the two equations:
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-3x = -3
x = 1
y = 3x - 5
y = 3(1) - 5
y = -2
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Answer 3

Thank you guys!

Answer 4

welcome @dfwkem5601

Answer 5

You're welcome! @dfwkem5601