Answer: x=-42 and y=-73
Step-by-step explanation:
Given the system of equations:
.........[1]
.......[2]
Multiplying [1] by 4 we have
........[3]
........[4]
Subtracting [4] from [3]
![-4x+4x+4y-3y=-124+51](https://tex.z-dn.net/?f=-4x%2B4x%2B4y-3y%3D-124%2B51)
⇒ y=-73
Putting it in [1]
![-73-x=-31](https://tex.z-dn.net/?f=-73-x%3D-31)
Adding 73 both sides
![-73+73-x=-31+73](https://tex.z-dn.net/?f=-73%2B73-x%3D-31%2B73)
-x=42
Multiplying both sides by -1
x=-42
The two "shorter" sides are referring to the legs of the triangles, because the hypotenuse is the largest side. Looking at this, we can find that it's a 3-4-5 triangle, which means that the scaling factor is 3, because 9/3 =3, 12/3=4, meaning we multiply 5 by 3 to get 15.
Answer:
x = 1
Step-by-step explanation:
Since it says quotient, that shows that 8 will be the answer of a division problem.
"4 more than x" means that it is x+4.
From there we can write out our equation: 40 / (x +4) = 8.
We want to get rid of that fraction, so we multiply by (x+4) on both sides which will result in:
40 = 8x + 32
Then, we subtract 32 from both sides:
8 = 8x
Finally, to get x, we divide 8 from both sides:
x = 1
Answer:
Step-by-step explanation:
Just multiply the first equation by -1 and then add them together to find x. Should look something like
-2x - y = -7
5x + y = 9
--------------------
3x + 0 = 2
x = 2/3
Now back substitute using either equation to find y. I'll use the first:
2(2/3) + y = 7
4/3 + y = 7
y = 7 - 4/3 = 21/3 - 4/3 = 17/3
Answer:
x=2/3
y=17/3
Answer:
I think its 1,3,5
Step-by-step explanation:
I hope its right