Question

Y = x + 124x + 2y = 27Solve each system of equations algebraically

Answer 1

x = 1/2

y = 12 1/2

Step-by-step explanation

We have to solve the system of equations algebraically:

y = x + 12

4x + 2y = 27

We can solve this using substitution method. Substitute the first equation into the second equation:

4x + 2(x + 12) = 27

4x + 2x + 24 = 27

6x = 27 - 24

6x = 3

Divide through by 6:

x = 3 / 6

x = 1/2

Recall that:

y = x + 12

=> y = 1/2 + 12

y = 12 1/2

That is the solution of the system of equations.