Question

Which of the following coordinates is the best solution to the system of equations when solved using substitution?

−2x + y = 1
4x + 2y = 8

A.(0.5, 0.75)
B.(0.75, 0.5)
C.(0.75, 2.5)
D.(2.5, 0.75)

Answer 1

Explanation:

To find the best solution to the system of equations using substitution, we can substitute the value of y from the first equation into the second equation and solve for x. Let's try each option:

A. (0.5, 0.75)

Substituting these values into the equations, we get:

-2(0.5) + 0.75 = 1 (True)

4(0.5) + 2(0.75) = 8 (False)

B. (0.75, 0.5)

Substituting these values into the equations, we get:

-2(0.75) + 0.5 = 1 (False)

4(0.75) + 2(0.5) = 8 (False)

C. (0.75, 2.5)

Substituting these values into the equations, we get:

-2(0.75) + 2.5 = 1 (True)

4(0.75) + 2(2.5) = 8 (True)

D. (2.5, 0.75)

Substituting these values into the equations, we get:

-2(2.5) + 0.75 = 1 (False)

4(2.5) + 2(0.75) = 8 (False)

Based on the results, the best solution to the system of equations when solved using substitution is option C: (0.75, 2.5).