Respuesta :
If you would like to solve the system of equations, you can do this using the following steps:
5p - 3r = 1 /*2
8p + 6r = 4
__________
10p - 6r = 2
8p + 6r = 4
__________
10p - 6r + 8p + 6r = 2 + 4
18p = 6
p = 6/18
p = 1/3
5p - 3r = 1
5 * 1/3 - 3r = 1
5/3 - 3r = 1
5/3 - 1 = 3r
5/3 - 3/3 = 3r
2/3 = 3r
r = 2/9
(p, r) = (1/3, 2/9)
The correct result would be (1/3, 2/9).
5p - 3r = 1 /*2
8p + 6r = 4
__________
10p - 6r = 2
8p + 6r = 4
__________
10p - 6r + 8p + 6r = 2 + 4
18p = 6
p = 6/18
p = 1/3
5p - 3r = 1
5 * 1/3 - 3r = 1
5/3 - 3r = 1
5/3 - 1 = 3r
5/3 - 3/3 = 3r
2/3 = 3r
r = 2/9
(p, r) = (1/3, 2/9)
The correct result would be (1/3, 2/9).
To answer, multiply the first equation by 2. Then, add the equations,
10p - 6r = 2
+ 8p + 6r = 4
The resulting sum would be 18p = 6. The value of p from the equation is p = 1/3. Substitute this value to either of the equation,
10(1/3) - 6r = 2 ; r = 2/9
Thus, the answer is letter C.
10p - 6r = 2
+ 8p + 6r = 4
The resulting sum would be 18p = 6. The value of p from the equation is p = 1/3. Substitute this value to either of the equation,
10(1/3) - 6r = 2 ; r = 2/9
Thus, the answer is letter C.