Question

solve the following system of linear equations by graphing: -2x + 2y=-16, -7x + 7y=-56. graph the linear equations by writing the equations in slope - intercept form: y = x + , y = x + . identify the appropriate number of solutions. if there is a solution, give the point. consistent ( , )

Explanation:

Step1: Rewrite first equation in slope - intercept form

Starting with \(-2x + 2y=-16\), add \(2x\) to both sides: \(2y=2x - 16\). Then divide by 2: \(y=x - 8\).

Step2: Rewrite second equation in slope - intercept form

For \(-7x + 7y=-56\), add \(7x\) to both sides: \(7y=7x - 56\). Divide by 7: \(y=x - 8\).

Step3: Analyze the system

Since both equations are the same (\(y=x - 8\)), the lines are coincident.

Answer:

Infinitely many solutions, and the equations in slope - intercept form are \(y=x - 8\) for both.