Question

Solve the following system of equations by the elimination method:

x = y + 4, 4x – 9y = 11

Answer 1

Given system of equations:

x = y + 4

4x – 9y = 11

Step 1: Express (x) from the first equation:

x = y + 4

Step 2: Substitute (x = y + 4) into the second equation:

4(y + 4) – 9y = 11

Step 3: Expand and simplify:

4y + 16 – 9y = 11 

–5y + 16 = 11

Step 4: Solve for (y):

–5y = 11 – 16

–5y = –5 

`y = (-5)/(-5)`

y = 1

Step 5: Substitute (y = 1) back in the first equation to find (x):

x = 1 + 4

x = 5