15PTS QUICK

Which system of equations has the same solution as the system below?
4x+ 5y = 13
10x - 8y = -32

A 4x+ 5y= 13
5x - 4y = -32
B 40x + 50y = 130
5x - 4y = 16
C 20x + 25y = 65
-20x + 16y = 64
D -4x - 5y = 13
10x - 8y = -32

Option B

40x + 50y = 130

5x - 4y = 16

Option C

20x + 25y = 65

-20x + 16y = 64

Step-by-step explanation:

we have

----> equation a

----> equation b

we know that

If two system of equations are equivalent, then their solution is the same

Part 1)

step 1

Multiply by 10 equation a both sides

----> equation a'

step 2

Divide by 2 equation b both sides

----> equation b'

so

The system of equations a and b and the system of equations a' and b' are equivalent

therefore

The system of equations a' and b' have the same solution as the given system

Part 2)

step 1

Multiply by 5 equation a both sides

----> equation a'

step 2

Multiply by -2 equation b both sides

----> equation b'

so

The system of equations a and b and the system of equations a' and b' are equivalent

therefore

The system of equations a' and b' have the same solution as the given system

need more info

step-by-step explanation:

where is the diagram? shown below where? ?

step-by-step explanation: