Classify the system of equations and identify the number of solutions. 8 + y = 4x 4x − y = −3

Answer 1

Substitution Method :

The system of equations are 8 + y = 4x and 4x - y = - 3.

Step 1 : Solve the equation 1 : 8 + y = 4x for y since the coefficient is 1.

Subtract 8 from each side.

8 + y - 8 = 4x - 8

y = 4x - 8

Step 2 : Substitute 4x - 8 for y in the equation 2 : 4x - y = - 3 to find the value of x.

4x - (4x - 8) = - 3

4x - 4x + 8 = - 3

8 = - 3.

The above statement is false, so the system of equations has no solution.