answer:
slope: -2/3
step-by-step explanation:
y=mx+b
m represents the slope, and b the y-intercept.
rearrange: 9x= -6y+18
---> -6y= -9x-18
divide all terms by -6.
-6y/-6= -9/-6x-18/-6
y= 3/2x+3 (slope/intercept form)
m= 3/2
---> 1/3/2= -2/3
Answer:
it took her 35 minutes to finish
it would be positive because the positive number is bigger than the negative number.
Answer:
y = 3
x = 2 - z
Step-by-step explanation:
We have the system:
2*x+y+2*z=7
2*x-y+2*z=1
5*x+y+5*z=13
In the first and second equations we have the term (2*x + 2*z) = A
Then we can rewrite the first two equations as:
A + y = 7
A - y = 1
isolating A in the first equation, we get:
A = 1 + y
Now we replace this in the other equation:
(1 + y) + y = 7
1 + 2*y = 7
2*y = 6
y = 3.
then:
A + y = 7
A + 3 = 7
A = 7- 3 = 4
A = 2*x + 2*z = 4.
Now let's go to the third equation:
(5*x + 5*z) + y = 13
we can rewrite the thing inside the parentheses as:
(5/2)*(2*x + 2*y) + y = 13
And we know that:
2*x + 2*z = 4
y = 3
then this can be written as:
(5/2)*(4) + 3 = 5*2 + 3 = 13
Then we can conclude that:
y = 3
2*z + 2*x = 4
2*(z + x) = 4
(z + x) = 4/2 = 2
x = 2 - z
Notice that the solution is not only a point, we have infinite solutions for this problem.
