Question

Y = 6x − 4

y = 5x − 3

Part A: In your own words, explain how you can solve the pair of equations graphically. Write the slope and y-intercept for each equation that you will plot on the graph to solve the equations.

Part B: What is the solution to the pair of equations?

can it also be simple

Answer 1

Part B:
`\displaystyle [1, 2]`

Part A: Set both equation equal to each other by Substitution, since our y-values are already given to us.

Explanation:

6x - 4 = 5x - 3

- 6x + 3 - 6x + 3

____________

`\displaystyle -1 = -x; 1 = x`

Plug this coordinate back into the above equations to get the y-coordinate of 2.

y = mx + b [where b is the y-intercept and the rate of change (slope) is represented by m]

`\displaystyle y = 5x - 3; [0, -3]; 5 = m \\ y = 6x - 4; [0, -4]; 6 = m`

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