Answer:
12
Step-by-step explanation:
54/12=4.5 then move the decimal once
Answer: Karen has 20, Trey has 15, Dante has 40
Step-by-step explanation:
Karen=x+5 Trey=x Dante=2x+10
x+x+5+2x+10=75
4x+15=75
4x=60
x=15
Let's get the same terms on the same side.
I am going to remove 5x from both sides of the equation by subtracting 5x
5x - 5x<span> -7 = 7x -</span>5x<span> - 17</span>
-7 = 2x - 17 now lets remove the 17 from both sides
-7 + 17 = 2x (why do we add 17? Think of 2x -17 as 2x + -17. Tor remove a negative number we add it.
Now we finally have 10=2x and if we divide both sides by 2
<u>10</u><span> = </span><u>2x</u><u>
</u>2 2 we get that x = 5
<u />Let's check by substituting 5 in the original equation:
5(5) - 7 = 7(5) - 17
25 - 7 = 35 - 17
<span>18 = 18</span>
6x-4y=-14
2(-3x-3y=12)
6x-4y=-14
-6x-6y=24
-10y=10
Divide both sides by 10
-1y=1 divide by -1
y=-1
6x-4(-1)=-14
6x+4=-14
-4 -4
6x=-18
Divide both sides by 6
x=-3
The y-coordinate of the solution is 11.
Both equations have y isolated. We will use substitution for this system:
5x-9=x²-3x+7
We want to gather all of the variables on one side, so we will subtract 5x from each side:
5x-9-5x=x²-3x+7-5x
-9=x²-8x+7
We want the equation to be equal to 0 to solve it, so we will add 9 to both sides:
-9+9=x²-8x+7+9
0=x²-8x+16
This is easy to factor; factors of 16 that sum to -8 are -4 and -4:
0=(x-4)(x-4)
Since these are the same factor, we solve it to get our answer:
x-4=0
x-4+4=0+4
x=4
Substitute this into the first, linear, equation:
y=5(4)-9=20-9=11
