Question

PLEASE HELP, GIVING 55 POINTS IF YOU ANSWER (08.03/08.05 MC) 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

A. (1, -2)

B. the lines intersect at the solution point: (1, -2).

Explanation:

A. The equations can be solve by substitution by using the y-expression provided by one of them to substitute for y in the other.

This gives ...

3x -5 = 6x -8

Adding 8-3x to both sides, we get ...

3 = 3x

Dividing both sides by 3 gives ...

1 = x

Substituting this value into the first equation, we can find y:

y = 3(1) -5 = -2

The solution is (x, y) = (1, -2).

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B. The lines intersect at the solution point, the point that satisfies both equations simultaneously. That point is (1, -2).