Answer:
x = - 4.5, y = - 10
Step-by-step explanation:
1 - Eliminate x terms.
2x - 3y = 21
2x = 21 + 3y
x = ( 21 + 3y ) ÷ 2
Now substitute x in terms of y into the second equation.
- 6x + 2y = 7
- 6 · (( 21 + 3y ) ÷ 2 ) + 2y = 7
2 - Eliminate y terms.
2x - 3y = 21
- 3y = 21 - 2x
y = ( 21 - 2x ) ÷ ( - 3 )
Now substitute y in terms of x into the second equation.
- 6x + 2y = 7
- 6x + 2(( 21 - 2x ) ÷ ( - 3 )) = 7
3 - Solve. I will be using the first method.
I left off with this equation:
- 6 · (( 21 + 3y ) ÷ 2 ) + 2y = 7
All you need to do is solve this equation, which reveals that y = - 10. Substitute y for - 10 in the first equation and solve.
2x - 3y = 21
2x - 3 · ( - 10 ) = 21
2x + 30 = 21
2x = 21 - 30
2x = - 9
x = - 4.5
Answer: x = - 4.5, y = - 10
I hope this helps!
