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
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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.