Graph the linear equations. Then use the graph to estimate how many solutions th

deliriwmfg

deliriwmfg

Answered question

2021-11-18

Graph the linear equations. Then use the graph to estimate how many solutions the equations share.
y=4x+9
4xy=1

Answer & Explanation

Glenn Cooper

Glenn Cooper

Beginner2021-11-19Added 12 answers

Step 1
You can graph the given equations by graphing their intercepts. Start with the first equation. To find the x-intercept, substitute y in the equation for 0 and solve the equation that you get for x.
y=4x+9
0=4x+9
9=4x
94x
Step 2
List the x-intercept with both its coordinates.
xintercept(94, 0)
Step 3
To find the y-interceprt, substitute x in the same equation for 0 and solve the equation that you get for y.
y=4x+9
y=4×0+9
y=0+9
y=9
Step 4
List the y-intercept with both its coordinates.
yintercept(0, 9)
Step 5
Now work with the other equation. To find the x-intercept, substitute y in the equation for 0 and solve the equation that you get for x.
4xy=1
4x0=1
4x=1
x=14
Step 6
List the x-intercept with both its coordinates.
xintercept(14, 0)
Step 7 To find the y-intercept, substitute x in the same equation for 0 and solve the equation that you get for y.
4xy=1
4×0y=1
0y=1
y=1
y=1
Step 8
List the y-intercept with both its coordinates.
yintercept(0, 1)
Step 9
Graph both equations by graphing their intercepts.
image
Step 10
The two lines are parallel, so they never intersect and thus there is no solution.

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