Question

Choose a variable to isolate and what it is equal to in the

system of equations below.

16x = 2y + 18
4y = 3x - 1

A. X = -8y + 9
B. y = X-9
C. y = 8X-9
O D. y = 8x + 9

Answer 1

С. y=8x-9

Explanation:

Solve the system of equations

3x=4y+1

16x=2y+18 (multiply by -2)

-32x= -4y-36

3x-32x= 4y+1-4y-36

-29x= -35

x=35/29

4y= 3*35/29-1= 105/29-29/29=76/29

y= 76/29: 4/1= 19/29

You know x and y, then attempt to replace x,y in every equation (from A to D) on 35/29 and 19/29 respectively. If the left and right part in some equation are equal after replacing that's the correct answer.

In C 19/29= 8*35/29- 9

19/29=19/29

It is correct.