Question

Enter numbers into the boxes to yield a system of equations that has infinitely many solutions.

2x + 5y = −7

BOX x − 15y = BOX

Answer 1

-6x -15y = 21

Explanation:

2x + 5y = −7

BOX x − 15y = BOX

Given equation is 2x + 5y = -7

When system of equations have infinite solutions then the graph of both lines overlaps.

The graph of line overlaps means both the equations should be same

We compare both the given equations

For +5y in the first equation we have -15y in the second equation

+5y is multiplied with -3 to get -15y

So we multiply 2x by -3. its -6x

-6x in the first box

Now multiply -7 with -3. so its 21

21 in the second box

Answer is : -6x -15y = 21