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Tom [10]
3 years ago
13

Please help! (Algebra) ​

Mathematics
1 answer:
Tju [1.3M]3 years ago
6 0

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!

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