Question

To eliminate the x-terms and solve for y in the fewest steps, by which constants should the equations be multiplied? First equation: 6x − 5y = 17 Second equation: 7x + 3y = 11

Answer 1

6x - 5y = 17
7x + 3y = 11

to eliminate x....there is a couple ways to do this...

u can multiply equation 1 by 7 and equation 2 by -6
or
u can multiply equation 1 by -7 and equation 2 by 6

Answer 2

Answer:

Step-by-step explanation:

The two equations we have are

6x − 5y = 17

7x + 3y = 11

Now to eliminate any term from them , we try to make the coefficient same . Here we want to eliminate the x term so it is important to make the coefficient of the x term same.

Lets multiply equation one by 7 and second equation by -6

6x − 5y = 17 )*7  => 42x-30y =119

7x + 3y = 11 ) *-6 +> -42x-18y= -66

Now coefficeint of x are same with opposite sign , so we need to multiply first equation by 7 and second by -6.