Determine the equivalent system for the given system of equations.

4x − 5y = 2
10x − 21y = 10

a. 4x − 5y = 2
3x − y = 4
b. 4x − 5y = 2
24x − 47y = 22
c. 4x − 5y = 2
10x + 3y = 15
d. 4x − 5y = 2
14x + 26y = 12

The equivalent system for the given system of equations is 4x − 5y = 2, and 10x − 21y = 10 is 4x − 5y = 2  and 24x − 47y = 22

We have to determine, the equivalent system for the given system of equations is 4x − 5y = 2, and 10x − 21y = 10.

According to the question,

System of equation; 4x − 5y = 2, and 10x − 21y = 10.

To determine the equivalent relation following all the steps given below.

From equation 1,

Substitute the value of x in equation 2,

Substitute the value of y in equation 1,

The equation is equivalent to given relation which satisfies the value of x and y is,

Hence, The equivalent system for the given system of equations is 4x − 5y = 2, and 10x − 21y = 10 is 4x − 5y = 2  and 24x − 47y = 22.

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B

Step-by-step explanation:

4x-5y=2 ...(1)

10x-21y=10   ...(2)

(1)+2(2)  gives

24x-47y=22

step-by-step explanation: