To eliminate the y terms and solve for x in the fewest steps, by which constants should the equations be multiplied? first equation: 4x − 3y = 34 second equation: 3x 2y = 17

first equation: 4x - 3y = 34

second equation: 3x+2y = 17

To eliminate y, the number before y (coefficient of y ) should be same.

To make the coefficients of y to be same , we multiply the first equation by 2 and second equation by 3

We need to multiply 3y by 2 to get 6y. Also we multiply 2y by 3 to get 6y.

Lets work out and see

first equation: (4x - 3y = 34) * 2

second equation: (3x+2y = 17) * 3

After multiplying each term by constant, The equation becomes

8x - 6y = 68

9x + 6y = 51

17x +0 = 119

17x = 119

x= 7 (we solved for x by eliminating y)

To eliminate y, we multiply the first equation by constant 2 and second equation by constant 3.