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

to eliminate the y terms and solve for x in the fewest steps, by which constants should the equations be multiplied by before adding the equations together? first equation: 4x - 3y = 34 second equation: 3x + 2y = 17 the first equation should be multiplied by 2 and the second equation by 3. the first equation should be multiplied by 2 and the second equation by -3. the first equation should be multiplied by 3 and the second equation by 4. the first equation should be multiplied by 3 and the second equation by -4.

to eliminate the y terms and solve for x in the fewest steps, by which constants should the equations be multiplied by before adding the equations together? first equation: 4x - 3y = 34 second equation: 3x + 2y = 17 the first equation should be multiplied by 2 and the second equation by 3. the first equation should be multiplied by 2 and the second equation by -3. the first equation should be multiplied by 3 and the second equation by 4. the first equation should be multiplied by 3 and the second equation by -4.

Answer

Explanation:

Step1: Analyze y - coefficients

The first - equation has a y - coefficient of - 3 and the second equation has a y - coefficient of 2.

Step2: Determine multiplication factors

To eliminate the y - terms, we want the coefficients of y in both equations to be additive inverses. If we multiply the first equation by 2, the coefficient of y becomes - 6. If we multiply the second equation by 3, the coefficient of y becomes 6. When we add the two new equations, the y - terms will cancel out.

Answer:

The first equation should be multiplied by 2 and the second equation by 3.