Question

Desmond is trying to solve the following system of equations by eliminatinga variable: x-7y=14-4x + 14y = 28He notices if he adds or subtracts the two equations, no variable will beeliminated. Is there a constant he could multiply an equation by to helpsolve? If so, what is it and which equation should be multiplied?

Answer 1

Given:

The equations are x-7y=14 and -4x + 14y = 28.

Step-by-step explanation:

it can be observed that for elimainting a variable from two equation coefficient of one variable for each equation must be equal and opposite.

So, if we multiply equation x-7y=14 by 4 and then coefficient of x becomes 4, which is opposite and equal to coefficient of x in equation -4x + 14y = 28.

Thus, equation x - 7y = 14 is to be multiplied by 4.