Question

To eliminate the y-terms and solve for x in the fewest steps, by which constants should the equations be multiplied? First Equation: 5x − 4y = 28 Second equation: 3x - 9y = 30

Answer 1

The correct answers are the equation 5x - 4y = 28 should be multiplied by 9 and 3x - 9y = 30 should be multiplied by 4.

Explanation:

The two equations are given by 5x - 4y = 28 and 3x - 9y = 30.

We need to solve these two equations simultaneously for the value of x.

Thus we need to eliminate the y-terms to get the value of x in the fewest steps.

Therefore if we multiply 5x - 4y = 28 by 9 and 3x - 9y = 30 by 4, then the coefficient of y would be equal, to 36, and then we can subtract both the equations to get the value of x in the fewest step possible.