Given: 8x - 3y = -21, 3x + y = -10; Prove: x = -3

Answer:
The answer to your question is given below
Step-by-step explanation:
8x – 3y = –21 ..... (1)
3x + y = –10 ...... (2)
To prove that x = – 3
Do the following:
8x – 3y = –21 ..... (1)
3x + y = –10 ...... (2)
Make y the subject in equation 2
3x + y = –10
Rearrange
y = –10 – 3x
Substitute the value of y into equation 1
To get the value of x.
8x – 3y = –21
y = –10 – 3x
8x – 3(–10 – 3x) = –21
Clear bracket
8x + 30 + 9x= –21
Collect like terms
8x + 9x = –21 – 30
17x = –51
Divide both side by 17
x = –51 / 17
x = – 3