Answer:
x = 0, y = 7
Step-by-step explanation:
Solving a system of equations using substitution requires one side to be equal to a variable present in the equation, in this case x or y. We should simplify the equation using elimination before substituting to reduce the chance of error.
In order to use the elimination method, you have to create variables that have the same coefficient—then you can eliminate them. These equations arew already aligned for us.
3x - 10y=-70
-<u> 4x +9y = 63</u>
-x + y = 7
Now, for substitution, the equation must be set to a variable.
-x + y = 7
y = x + 7
Next, plug the equation in where applicable in another equation.
4x +9(x + 7) = 63
4x + 9x + 63 = 63
13x = 0
x = 0
The final step of substitution is to plug the known variable into an equation to find the other variable.
3(0) - 10y=-70
0 - 10y = -70
10y = 70
y = 7
I guarantee you this answer is correct, I worked it out using other methods and graphing prior to submitting this answer.
13.5 is your answer, here u are
Answer:
1 hr, 48 minutes
Step-by-step explanation:
you can create a proportion:
doughnuts/hours = doughnut/hours (h)
1500/9 = 300/h
cross-multiply to get:
1500h = 2700
h = 27/15
h = 1 12/15, which is 1 hr, 48 minutes because 12/15 = 48/60
Answer:
it looks like y int is about 2550
Step-by-step explanation:
X = length of third side
The third side is unknown and can't be determined to be one fixed number. However, we can find a set of values or a range of acceptable values
If we know that
a = 6
b = 7
are the two given sides, then we can say
b-a < x < b+a
7-6 < x < 7+6
1 < x < 13
So the third side x can be between 1 and 13.
The third side cannot be equal to 1 unit or 13 units because a triangle would not form. Instead a straight line would form.
Note: This idea is using the triangle inequality theorem
