Answer:
(3, 2)
Step-by-step explanation:
First, we have to eliminate a variable:
3(5x+2y = 19
)
2(4x-3y = 6)
------------------
15x+6y = 57
8x-6y = 12
Now we add the system of equations together:
15x+8x+6y-6y = 57+12
23x = 69
/23 /23
x = 3
Now we can plug this value back into one of the equations to get y:
5(3)+2y = 19
15+2y = 19
-15 -15
2y = 4
/2 /2
y = 2
Therefore, the solution to these system of equations is (3, 2)
Answer:
17.9375 square yards
Step-by-step explanation:
Let us have a common unit
What we have here is the case of inches and ft
10 ft 3 inches
1 ft = 12 inches
so 3 inches is 3/12 = 0.25 ft
= 10+0.25 = 10.25 ft
15 ft 9 in
= 15 + 9/12 = 0.75 + 15 = 15.75 ft
So let us convert to yards ;
Mathematically, 3 ft = 1 yard
so 10.25 ft = 10.25/3 = 3.4167 yards
15.75 ft = 15.75/3 =5.25 yards
So the square yards would be the product of this two;
which is;
(10.25/3) * (15.75/3) = 17.9375 square yards
Answer:
-n + 2 m + 2
Step-by-step explanation:
Simplify the following:
(-2 n + 4 m + 4)/2
Factor 2 out of -2 n + 4 m + 4:
(2 (-n + 2 m + 2))/2
(2 (-n + 2 m + 2))/2 = 2/2×(-n + 2 m + 2) = -n + 2 m + 2:
Answer: -n + 2 m + 2
Step-by-step explanation: