B=2a+5 -----(1)
a+b=44----(2)
place (1) into (2)
a+(2a+5) = 44
3a+5=44
3a=39
so a= 13
then b=2(13)+5= 26+5=31
so that the two numbers are 13 and 31
Answer: No, it is not a solution. It makes the first equation true, but the second equation is false when (x,y) = (16, 1)
To check a possible solution, we replace the variable letters with their actual numbers. The given solution is (x,y) = (16,1) so x = 16 and y = 1 pair up. We'll replace x with 16, and replace y with 1.
Do so with the first equation and simplify
y = (-1/4)*x + 5
1 = (-1/4)*16 + 5
1 = -4 + 5
1 = 1 ... true
And repeat for the second equation
y = (1/6)*x - 2
1 = (1/6)*16 - 2
1 = 2.667 - 2
1 = 0.667 .... false
The equation above is false, so the original equation is false when (x,y) = (16,1). This proves the point is not on the line.
So overall, (16,1) is not a solution to the system.
The formula is
I=prt
I interest earned 7558.20
P principle 12350
R interest rate 0.0765
T time?
Solve the formula for t by dividing both sides by pr to get
T=I/pr
T=7,558.20÷(12,350×0.0765)
T=8 years
Hope it helps!
Answer:
I need more information, are we solving for D?
Step-by-step explanation:
From the given photograph in the problem above, the cost of each macaras is $14, each set of clave cost $5. Lastly, each djembe drum costs $16. If we let x be the number of djembe drum sold, our equation would be,
326 = 12(14) + 6(5) + x(16)
Simplifying the right side of the equation,
326 = 198 + 16x