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.
The answer to this problem is 164.
Hope this answer helps! feel free to ask any additional questions :)
Answer:125 students
Step-by-step explanation:if 5 out of every 32 students bikes
5=32
X=800
800(5)=4000
4000/32=125
THE ANSWER IS..... X1= -6 & X2=0
Answer:
(-7,-2)
Step-by-step explanation:
y = 3x + 19
y = 5x + 33
Substitute in y. Basically set equal to each other.
3x + 19 = 5x + 33
-2x = 14
x = -7
y = 3 (-7) + 19
y = -21 + 19
y = -2
