Question

Solve for x and y:3x + 7y= 2212x + 28y = 88Select one:a. There is no solution.b.x = 5, y = 1c. The solution is (0,0).d. There are an infinite number of solutions.

Answer 1

To solve the given system of equations, first, we multiply the first equation by -4. Then, we sum the equations to obtain just one.

`\begin{gathered} -12x-28y=-88 \\ 12x+28y=88 \end{gathered}`

If we sum the equation, we've got.

`\begin{gathered} 0x+0y=0 \\ 0=0 \end{gathered}`

This means the system has an infinite number of solutions.

The right answer is D.