Question

consider the following system of equations with the solution (1, 8). which system of equations would have the same solution?

Answer 1

Replacing x=1 in the equations to verify if the value of y is equal to 8, we have:

A.

y= 5*(1) + 3 = 8 (Multiplying and adding) (It is correct as the result for y is equal to 8)

y= 9*(1) - 1 = 8 (Multiplying and subtracting)(It is correct as the result for y is equal to 8)

B

y= 4*(1) + 2 = 6 ≠ 8 (Multiplying and adding) (It is not correct as the result for y is not equal to 8)

C

y= -2*(1) + 10 = 8 (Mulitplying and subtracting) (It is correct as the result for y is equal to 8)

y= 8*(1) + 1 = 9 ≠ 8 (Multiplying and adding) (It is not correct as the result for y is not equal to 8)

D.

y= 7*(1) -5 = 9 ≠ 8 (Multiplying and subtracting) (It is not correct as the result for y is not equal to 8)

The answer is the option A.