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: 5x - 4y = 28 second equation: 3x - 9y = 30 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 9 and the second equation by 4. the first equation should be multiplied by 9 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: 5x - 4y = 28 second equation: 3x - 9y = 30 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 9 and the second equation by 4. the first equation should be multiplied by 9 and the second equation by - 4.

Answer

Explanation:

Step1: Analyze y - coefficients

The first equation has - 4y and the second has - 9y. We want to make the absolute - values of the y - coefficients equal.

Step2: Find the least - common multiple

The least - common multiple of 4 and 9 is 36.

Step3: Determine the multipliers

To get 36 for the y - coefficients, we multiply the first equation by 9 (since $(-4)\times9=-36$) and the second equation by - 4 (since $(-9)\times(-4) = 36$). When we add the two new equations, the y - terms will cancel out.

Answer:

The first equation should be multiplied by 9 and the second equation by - 4.