Which constant could each equation be multiplied by to eliminate the x variable in this system of equations? 4x + 5y = 62 5x − 3y = 22

Respuesta :

Equation 1 and 2 should be multiplied by 5 and 4 respectively, to eliminate x variable from equations

Given :

  • Equation 1 : 4x + 5y = 62 , Equation 2 : 5x - 3y = 22

To get x eliminated, we want to have same coefficient of 'x' in both equations.

So, we multiply Eq 1 with 5 and Eq 2 with 4, to get common multiple of 4 & 5 = 20 as the equal x coefficient.

Hence, Eq 1 = 20x + 25y = 310

Also, Eq 2 =  20x - 12y = 88

Solving :        (-)    (+)      (-)

By elimination method, x gets eliminated. We get 25y + 12y = 222

This can be solved further to get values of x & y.

To learn more, refer https://brainly.com/question/16801633?referrer=searchResults

Answer:

-5 and 4

Step-by-step explanation: