2x+2y=16
<span>2x+6y=28
all you have to do is subtract to get rid of the 2x and solve for y
2x+2y = 16
-2x-6y = -28
---------------------------
0 -4y = -12
y = 3
now we got y we can plug in or do the systems of equation again and find x. lets do systems of equations again.
</span>2x+2y=16
<span>2x+6y=28
</span><span>
this time i am going to multiple the top by -3 and then add the equations hopefully it is clear why I multiple by -3
</span><span>
-3(2x+2y = 16)
2x +6y = 28
-6x - 6y = -48
</span>2x +6y = 28
------------------------
-4x + 0y = -20
x = 5
Answer:
74.7 km/h
Step-by-step explanation:
The computation of the average speed is shown below:
As we know that
Speed = Distance ÷ Time
where
Distance = 66 km
And, the time is from 14.54 to 15.47 is 53 minutes
So, the speed is
= 66 km ÷ 53 minutes
= 74.71698 kilometers per hour
= 74.7 km/h
Answer:
y=2x-2
Step-by-step explanation:
first, let's put the line into y=mx+b form (slope-intercept form), where m is the slope (or gradient) and b is the y intercept
add 5 to both sides
x+2y=5
subtract x from both sides
2y=-x+5
divide by 2
y=-1/2x+5/2
perpendicular lines have slopes (gradients) that are negative (one is positive, another one is negative) and reciprocal (they are essentially the same number, just "flipped")
to find the slope of I2:
since -1/2 is negative, that means the slope of I2 will be 2 (2/1 is the reciprocal of 1/2 (positive version of -1/2))
so here's our equation so far:
y=2x+b
now we need to find b
because line will pass through (3,4), we can use it to solve for b
substitute 4 as y and 3 as x
4=2(3)+b
multiply
4=6+b
-2=b
therefore the equation is y=2x-2
hope this helps!!
Answer:
1/15
Step-by-step explanation:
Ms. Fox loves to eat cereal and she notices that she only has 1/3 of the box of cereal left. If she spread that amount across 5 days, how much cereal will she have for each day?
The amount of cereal she would have per day is calculated as:
5 days = 1/3 of the box
1 day = x
Cross Multiply
5 days × x = 1 day × 1/3 of the box
x = 1/3 ÷ 5
x = 1/3 × 1/5
x = 1/15 of the box
Answer: it is 2 1/3
Step-by-step explanation: