Question

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)

Answer 1

Part A: solve by graphing the 2 equations and finding the places they intersect, those points will be the solutions. The slope for the first equation is 6 and the slope of the second equation is 5.

Part B: The solution is x=1, or (1, 2)

Explanation:

Part A: The solution of a pair of equations can be found graphically by graphing them and finding the intersection point, because that is when they are equal.

To find the slope, it is the coefficient of the x in the equation, so 6 and 5.

Part B: Set the equations equal to each other

(6x-4)=(5x-3)

x-4= -3

x=1

Answer 2

see below

Explanation:

A Since both equations are in slope intercept form, we can plot the y intercept for each equation and the use the slope to draw lines. The see where the lines intersect.

y = 6x − 4 slope is 6 , y intercept is (0,-4)

y = 5x − 3 slope is 5 y intercept is (0,-3)

They intersect at (1,2)