to eliminate the x terms and solve for y in the fewest steps, by which constants should the equations be…

to eliminate the x terms and solve for y in the fewest steps, by which constants should the equations be multiplied by before adding the equations together? first equation: 6x - 5y = 17 second equation: 7x + 3y = 11 the first equation should be multiplied by 3 and the second equation by -5. the first equation should be multiplied by 3 and the second equation by 5. the first equation should be multiplied by 7 and the second equation by -6. the first equation should be multiplied by 7 and the second equation by 6.

to eliminate the x terms and solve for y in the fewest steps, by which constants should the equations be multiplied by before adding the equations together? first equation: 6x - 5y = 17 second equation: 7x + 3y = 11 the first equation should be multiplied by 3 and the second equation by -5. the first equation should be multiplied by 3 and the second equation by 5. the first equation should be multiplied by 7 and the second equation by -6. the first equation should be multiplied by 7 and the second equation by 6.

Answer

Explanation:

Step1: Recall elimination - method goal

We want to make the coefficients of (x) in both equations equal in magnitude and opposite in sign. The coefficient of (x) in the first equation is (6) and in the second equation is (7).

Step2: Analyze coefficient - multiplication

To make the coefficients of (x) equal in magnitude and opposite in sign, we multiply the first equation by (7) (so the coefficient of (x) becomes (6\times7 = 42)) and the second equation by (- 6) (so the coefficient of (x) becomes (7\times(-6)=-42)).

Answer:

The first equation should be multiplied by 7 and the second equation by -6.