Question

Solve the following system of linear equations by addition. Indicate whether the given system of linear equations has one solution, hasno solution, or has an infinite number of solutions. If the system has one solution, find the solution.7x + 7y = 281 4x + 4y = 16

Answer 1

Answer:

Infinite number of solutions

Explanation:

The given system of equations:

7x + 7y = 28........(1)

4x + 4y = 16.........(2)

Multiply equation (1) by 4

28x + 28y = 112..............(3)

Multiply equation (2) by -7

-28x - 28y = -112...............(4)

Add equations (3) and (4) together

0x + 0y = 0....................(5)

Since the right hand and left hand sides of equation (5) are equal, the equation has infinite number of solutions