Question

A pair of equations is shown below: y = 7x − 9 y = 3x − 1

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?

Answer 1

Answer:

Step-by-step explanation:

y = 7x - 9

slope = 7

draw on graph

x y

-3. -30

-2. -23

-1. -16

0. -9

1. -2

2. 5

3. 12

y intercepts at x= 0 which is -9

y = 3x -1

slope = 3

x y

-3. -10

-2. -7

-1. -4

0. -1

1. 2

2. 5

3. 8

y intercepts at x= 0 which is -1

for x= 2 , y = 5 in both graphs

so (2,5) is intersection point

or we can solve by equating equation

7x-9 = 3x-1

4x = 8

x=2

y = 3*2 -1 = 5

(x,y) = (2,5)