No, there isn't a more efficient way to solve this system.
The method suggested by Manny of multiplying the first equation by 3 and the second equation by 2, then adding to eliminate the x-terms is the most efficient way to solve this system. This will give us an equation with only the y-term, which can then be solved for y. Once y is found, we can substitute it back into one of the original equations to solve for x. This method avoids unnecessary calculations and simplification steps.
Manny says he should multiply the first equation in the system of equations below by 3 and the second equation by 2, then add to eliminate the x-terms. Is there a more effective way to solve this system? Explain your answer.
−2x+y=15
3x+4y=−12
(1 point)
Responses
Yes, a more efficient way is to multiply the first equation by 4, add to eliminate y, then solve for x.
Yes, a more efficient way is to multiply the first equation by 4, add to eliminate y, then solve for x.
Yes, a more efficient way is to multiply the first equation by -4, add to eliminate y, then solve for x.
Yes, a more efficient way is to multiply the first equation by -4, add to eliminate y, then solve for x.
No, there isn't a more efficient way to solve this system.
No, there isn't a more efficient way to solve this system.
Yes, a more efficient way is to multiply the first equation by -4, add to eliminate x, then solve for y.
1 answer