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A pair of equations is shown below:

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. (6 points)

Part B: What is the solution to the pair of equations? (4 points)

Respuesta :

cwayneu

Answer:

A) To plot equations in point-slope form, pick one and let x = 0, then solve for y (or -4). That gives you point 1 (0,-4). Then let y = 0 and solve for x (or 2/3). That gives you a second point (2/3,0). Plot the two points and draw the line. Repeat for the second equation (points are (0,-3) and (3/5,0)). Where the lines cross is the solution for both equations.

B) point (1,2) fits both equations.

Step-by-step explanation:

Or solve by brute force...

The solution is where the same X,Y point fits both equations, or Y1 = Y2 and X1 = X2. So the equations in point-slope form (already in point-slope form) equal to each other, solve for X and plug that back into either of the equations to find Y.

6X - 4 = 5X -3

X = 1  so

y = 6X - 4

Y = 6 - 4

Y = 2

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