Answer:
The y-variable will be eliminated when adding the system of equations.
There is only one solution to the system of equations.
Step-by-step explanation:
-x + 6y = 16 (1)
8x - 6y = -2 (2)
Add the equations to eliminate y
-x + 8x = 16 +(-2)
7x = 16 -2
7x = 14
x = 14/7
x = 2
Substitute x = 2 into (1)
-x + 6y = 16 (1)
-2 + 6y = 16
6y = 16 + 2
6y = 18
y = 18/6
y = 3
(x, y) = (2, 3)
Answer: To find the x intercept using the equation of the line, plug in 0 for the y variable and solve for x. You can also use the graph of the line to find the x intercept. Just look on the graph for the point where the line crosses the x-axis, which is the horizontal axis. That point is the x intercept.
Step-by-step explanation:
The inequality is < because the equal sign is an equality.
I don’t need a brai
Answer:
6X + 15Y - 12
Step-by-step explanation:
3 (2X + 5Y - 4)
Multiply each term by 3
2X * 3 + 5Y * 3 - 4 * 3
6X + 15Y - 12
Bernardo travels the same distance at 25mph as he does at 50mph. However, since 25mph is only half of 50 mph, he must travel twice as long at 25mph. If you call the time he traveled 50mph "t", then
<span>t+2t=3 </span>
<span>3t=3 </span>
<span>t=1 </span>
<span>This means he traveled 1 hour at 50mph. In this time, he traveled 50 miles. He traveled the same distance at 25mph, so his total distance was </span>
<span>50miles+50miles=100miles </span>
<span>so the round trip was 100 miles.</span>