Answer:
.
Step-by-step explanation:
5x + 3y = 26 (times 6) 30x + 18y = 156
6x + 7y = 21 (times 5) 30x + 35y = 105
.
30x + 18y = 156
<u>30x + 35y = 105 </u> <u> </u>
-17y = 51
y = -3
.
Substitute the value of y to one of equations
6x + 7y = 21
6x + 7(-3) = 21
6x - 21 = 21
6x = 21 + 21
6x = 42
x = 7
Answer:
120 ways.
Step-by-step explanation:
From the given information:
Total number of roads leading from Bluffton to Hardeeville = 4
Total number of roads leading from Hardeeville to Savannah = 6
Total number of roads leading from Savannah to Macon = 5
We need to find the total number of ways to get from Bluffton to Macon.
Total number of ways to get from Bluffton to Macon = 
Therefore, there are 120 required number of ways to get from Bluffton to Macon.
Answer:
x = 1
Step-by-step explanation:
The line 1 passing through the points (-2,4), (0,2) and (1,1) is represented by the function f(x).
Again the line 2 is represented by y = g(x) and it passes through the points (-3,-3), (0,0) and (1,1).
So the only common point between line 1 and line 2 is (1,1) and it will be unique since two straight lines meet at only one point if they are not parallel.
Hence, for x = 1 input value produces the same output value y = 1 for the two functions f(x) and g(x) on the graph. (Answer)
Answer:
the sum of two numbers is 27. their difference is 5. find the number
Step-by-step explanation:
Let x be the first number and y be the second number ... so we have
x + y = 27
x - y = 5 Adding the equations, we have
2x = 32 Dividing through by 2, we have
x = 16 And substituting or x in the first equation, we have
16 + y = 27 Subtract 16 from both sides
y = 11
