mcccreamullinsr
10.01.2020 •
Mathematics
Which system has the same solution as the system of equation shown
8x + 3x =5
4x + 2y =3
a. 8x+3y=5
-8x + 4y= -6
b. 8x+3y=5
-8x - 4y= -6
c. 16x + 6y =5
12x - 6y = 9
d. 8x + 3y=5
8x + 4y= 3
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Ответ:
B. 8x+3y=5
-8x - 4y= -6
Step-by-step explanation:
The given system of equations is expressed as
8x + 3y =5 - - - - - - - - -1
4x + 2y =3 - - - - - - - - - - 2
We would eliminate x by multiplying equation 1 by 4 and equation 2 by 8. It becomes
32x + 12y =20
32x + 16y = 24
Subtracting, it becomes
- 4y = - 4
y = - 4/ - 4
y = 1
Substituting y = 1 into equation 1. It becomes
8x + 3 × 1 =5
8x + 3 = 5 - 3 = 2
x = 2/8 = 1/4
Substituting x = 1/4 and y = 1 into the given options, it becomes
A. 8 × 1/4 + 3 × 1=5
2 + 3 = 5
- 8 × 1/4 +4 × 1 = 2
B. 8x+3y=5
-8x - 4y= -6
- 8 × 1/4 - 4 × 1 = -6
Therefore, the system of of equations that has the same solution as the given equation is
B. 8x+3y=5
-8x - 4y= -6
Ответ:
Step-by-step explanation:
UNVA KSAOS