First, I would write the problem vertically because it just helps me better.
7x+2y=10
-7x+1y=-16
Then, I would add downwards.
7x+2y=10
+ -7x+1y=-16
-------------------
0x+3y=-6
Now, divide 3 from both sides.
3y=-6
--- ---
3 3
y=-2
Now, plug in -2 for y in any equation to get x.
7x+2(-2)=10
Combine like terms
7x-4=10
Add 4 to both sides
7x-4=10
+4 +4
-------------
7x=14
Divide each side by 7.
7x=14
---- ---
7 7
x=2
So your solution is
(2,-2)
To check the solution, plug in the x and y values in both equations.
7(2)+2(-2)=10
14-4=10
10=10
-7(2)-2=(-16)
-14-2=-16
-16=-16
Therefore, the solution works.
<u>You must always plug in the x and y values into both equations to check the solution because sometimes the solution will work for one and not the other.</u>
The solution must work to both equations in other for it to be right.
Answer:
c
Step-by-step explanation:
Answer:
x = ± 7
|-7|-2=5
|7|-2=5
± means positive or negative
Step-by-step explanation:
|x|-2=5
Get x by itself by adding 2 to both sides.
x - 2 + 2= 5 + 2
-2 + 2 cancels out
x = 5 + 2
x = 7
Absolute value is how far a number is from 0.
x can be either positive or negative.
Hello here is a solution :
<span>The polynomial is : (x+5)(x-2)(x-6)</span>
Answer:
16
Step-by-step explanation:
OK, this might sound a bit confusing but I'll give it my best shot.
1. We know all the sides of one triangle, the smaller one. We know that the largest side of the large triangle is 36, and the largest side of our small triangle is 9. This means that they are related.
2. If we take 36 and divide by 9, it gives us 4. This number tells us how much bigger the large triangle is compared to the smaller triangle.
3. Now, we can take the number we just got, 4 and use it to find the other sides of the large triangle.
4. We need the smallest side of the large triangle. We can get this by taking the smallest side of the small triangle, and multiplying it by 4, since we know that the big triangle is 4 times larger than the small one.
5. 4 is the smallest side of the small triangle. We can multiply by 4, which is 16, and your answer!
