You can use a matrix equation to discover that the motel clerk has 45 $1 bills and 12 $10 bills.
The value of x satisfies both -9x + 4y = 8 and -3x - y = 4 given the same value of y is
Step-by-step explanation:
The system of equations has two equations:
Let us solve the system of equations to find the value of x and substitute it in the two equations to check if it gives the same value of y in the two equations
∵ -9x + 4y = 8 ⇒ (1)
∵ -3x - y = 4 ⇒ (2)
- Multiply equation (2) by 4 to make the coefficients of y in the
two equations have same value and different signs
∴ -12x - 4y = 16 ⇒ (3)
- Add equations (1) and (3) to eliminate y
∴ -21x = 24
- Divide both sides by -21
∴ x =
Let us substitute this value of x in equations (1) and (2) to find y
∵ -9(
) + 4y = 8
∴
+ 4y = 8
- Subtract
from both sides
∴ 4y =
- Divide both sides by 4
∴ y =
∵ -3(
) - y = 4
∴
- y = 4
- Subtract
from both sides
∴ - y =
- Divide both sides by -1
∴ y =
The value of x satisfies both -9x + 4y = 8 and -3x - y = 4 given the same value of y is
Learn more:
You can learn more about the system of equations in brainly.com/question/2115716
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The synodic month, or complete cycle of phases of the Moon as seen from Earth, averages 29.530588 mean solar days in length (i.e., 29 days 12 hours 44 minutes 3 seconds); because of perturbations in the Moon’s orbit, the lengths of all astronomical months vary slightly. The sidereal month is the time needed for the Moon to return to the same place against the background of the stars, 27.321661 days (i.e., 27 days 7 hours 43 minutes 12 seconds)
The answer is y = 5x + 7
here's how you get it:
Start with the base y = mx + b
then imput the points and the slope:
-3 = 5 ( -2 ) + b
Then solve for b
-3 = 5 ( -2 ) + b
-3 = -10 + b
-b = -7
b = 7
so the equation is:
y = 5x + 7