X+y=-1
x-3y=11
------------- (subtract equation)
4y = -12
y = -12/4
y= -3
-------------- (substitute y)
x-3=-1
x=-1+3
x=2
Answer ----> A (2,-3)
-5x-3y=12
x-3y=-6
you want to multiply the top equation by -1 to swap the signs and make the x's positive like the bottom equation
5x+3y=-12
x-3y=-6
then you have to multiply every value in the bottom equation by 5 so you are able to subtract it from the top equation
5x+3y=-12
5x-15y=-30
---------------- (subtract)
18y=18
y=18/18
y=1
------------------ (substitute y)
x-3=-6
x=-6+3
x=-3
answer = (-3,1)
Answer:
y=2x
Step-by-step explanation:
Direct variation is such that y=kx where k is the rate of change. In direct variation the graph must cross the origin (0,0) meaning that the y-intercept is zero. The only equation that satisfies the definition of direct variation is y=2x.
Answer:
19.5 miles per hour
Step-by-step explanation:
We need to change 20 minutes to hours
1 hours = 60 minutes
20 minutes * 1 hour/60 minutes = 1/3 hour
To find miles per hour we take the miles and divide by hours
6.5 miles
---------------- = 19.5 miles per hour
1/3 hours
Answer:
Step-by-step explanation: