Question

In order to solve the system of equations below, Harvey multiplies each equation by a constant to eliminate the x terms. 7x + 3y =5 2x + 5y= -11

Answer 1

Its A

14 x + 6 y = 10. - 14 x -35 y = 77.

Explanation:

Answer 2

Harvey would need to multiply the first equation by -2 and the second equation by 7.

You can tell this by looking for the least common multiple of each x coefficient. Below are the multiples of both numbers.

7: 7, 14, 21, 28, 35, 42

2: 2, 4, 6, 8, 10, 12, 14, 16, 18

You'll notice that the first number to appear in both lists is 14. So we must multiply so that one x is 14 and the other is -14. To do this, we know we must multiply 7 by -2 and 2 by 7. This will give us the desired result. You can solve for y after that.