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

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.

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step-by-step explanation:

y = 2x

step-by-step explanation:

if you divide each number in the sequence, you'll see that they all have a multiple factor of 2. each number in the series, and any other numbers which may continue, will be multiplied by 2. therefore, y is the next number in the sequence, and x is the current one, so, our formula will be y = 2x.