## 15PTS QUICK Which system of equations has the same solution as the system below? 4x+ 5y = 13 10x – 8y = -32

Question

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

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2 weeks 2021-10-04T09:44:26+00:00 1 Answer 0

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