Solve the top equation to get on variable on one side
2x-y=6
-y=-2x+6
y=2x-6
then plug in the coordinate for x and y for both equations. if both equations are true then it’s a solution
2=2(2)+6
2=10
4+2=6
so it’s not a solution
<span>y=2x+8 slope = 2
</span><span>parallel to y=2x+8, so equation has same slope = 2
</span><span>goes through point (−4,1)
</span>then
y = mx+b
1 = 2(-4) + b
b = 9
so the equation
y = 2x + 9
Solution:
we have been asked to find
Which length is greater 1/2 meter or 240 centimeters.
To compare the two given lengths, we will have to make both the length in same unit system.
Here 1/2 meter can be written as 50 centimeter , because 1 meter =100cm.
Now its very clear that 240 centimeters is more than 50 centimeters.
Hence we can say 240 centimeters is greater than 1/2 meter .
Answer: The perimeter is 30ft.
Step-by-step explanation:
Let's define:
L = length of the longer side.
S = length of the shorter side.
P = perimeter
we know that for a common rectangle:
P = 2*S + 2*L
We aso know that:
L = 2ft + (1/3)*P
S = (1/10)*P
L = S + 9ft.
So we have a system, let's find the perimeter only using this system (So i will ignore the equation for the perimeter of a rectangle)
First, we can replace the third equation in the first equation, now we have a system with only two equations:
S + 9ft = 2ft + (1/3)*P
S = P/10
Now we can replace the second equation in the first equation, and get:
P/10 + 9ft = 2ft + P/3
Now let's solve this for P.
9ft - 2 ft = P/3 - P/10
7ft = P( 1/3 - 1/10) = P*( 10/30 - 3/30) = P*(7/30)
(30/7)*7ft = P = 30ft.
The perimeter is 30ft.
Answer:
Y=2x-7
Step-by-step explanation:
