y = -2x + 9
y = 4x - 3
y is isolated in both equations, thus you may set the expressions (-2x + 9) and (4x - 3) equal to each other and solve for x.
-2x + 9 = 4x - 3
Subtract 9 from both sides.
-2x + 9 - 9 = 4x - 3 - 9
-2x = 4x - 12
Subtract 4x from both sides.
-2x - 4x = 4x - 12 - 4x
-6x = -12
Divide both sides by -6.
-6x/-6 = -12/-6
x = 2
Substitute 2 for x into one of the original equations to find y.
y = 4x - 3 (given)
y = 4(2) - 3 (substitute)
y = 8 - 3 (multiply)
y = 5 (subtract)
Plug x- and y-values into original equations to check work.
5 = -2(2) + 9
5 = - 4 + 9
5 = 5
5 = 4(2) - 3
5 = 8 - 3
5 = 5
Answer:
x = 2 and y = 5; (2, 5).
Answer:
Step-by-step explanation:
A) 34x + 12.95g + 3.60p = b
34x = $ per day to rent
12.95g = $ per day you have GPS
3.60p = $ per gallon
b = total bill
B)
97.35
C) 34(1) + 12.95(1) + 3.60(14) = 97.35
That's how the function would look after you plugged the numbers from the problem in.
I am not 100% if I did this right but it's better than nothing, so you can build off of this.
Answer:
129 degrees
Step-by-step explanation:
Space from D and E = 75
Space from E and F = 54
Space from D and F = 75 + 54
=> Space from D and F = 129 degrees
19/2 = 9.5. Hope this helped.
Given:
The two numbers are


To find:
The highest common factor (HCF) of A and B
Solution:
We have,
...(i)

All the factors of A are prime but the factors of B are not prime. So, it can be written as
...(ii)
From (i) and (ii), it is clear that 3 is the only common factor of A and B. So,

Therefore, the highest common factor (HCF) of A and B is 3.