24-3x=2x-1
+3x. +3x
24=5x-1
+1. +1
25=5x
X=5
The required system of equations is 
Step-by-step explanation:
We need to write a system of linear equations that has the ordered pair (1,4) as it's solution.
It means we need to find system of linear equations, which after being solved gives x=1 and y=4
Let the system of equations be:

I have made equations such that adding x+y gives 5 i,e (1+4=5) and subtracting x-y gives -3 (1-4=-3)
Now solving this system of equations to find value of x:

Adding eq(1) and eq(2)

Putting value of x=1 into eq(1) to find value of y

The solution set after solving system of equations is (1,4).
The required system of equations is 
Keywords: System of equations
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Answer:
m<H=30 degrees by the Triangle Sum Theorem, so <H=<V. <G=<U, they are right angles. If GH=UV, triangle FGH=triangle TUV by the ASA.
x=3 and y=8
Step-by-step explanation:
H equals 30 by 180-150=30 (getting 150 by adding 60 and 90)
I know this is not much of a answer, but I hope it helps a little.
http://www.somersetkey.com/ourpages/auto/2017/12/13/63309824/geo%20ch%205%20sec%204%20teach.pdf
Answer:
x=1/3 or x=−3/2
Step-by-step explanation:
7x2+10x−3=x2+3x
Step 1: Subtract x^2+3x from both sides.
7x2+10x−3−(x2+3x)=x2+3x−(x2+3x)
6x2+7x−3=0
Step 2: (3x−1)(2x+3)=0
Step 3: Set factors equal to 0.
3x−1=0 or 2x+3=0
x=1/3 or x= −3/2
Answer:
See below-
Step-by-step explanation:
It depends on if you are transforming O to P or P to O
O to P would be rotate counterclockwise translate down 4
using the point (-3,2) from P and it's corresponding point from O (6,3)
rotate 90 counterclockwise (x,y)--> (-y,x) From point O - (6,3)--> (-3,6)
so after the rotation that point would be at (-3,6) to get the point to (-3, 2) move it down 4. so it is translated down 4
if you are transforming O to P is would be the opposite
rotate 90 clockwise and translate up 4