Question

3x + 2y = -7

2x - 5y = 8
please help solve!! i need my work need to me shown so please help me! ❤️

Answer 1

`x = - 1`

`y = - 2`

Explanation:

`3x + 2y = - 7`

`2x - 5y = 8`

Apply elimination method. Let multiply the bottom equation by -3/2.

`2 * - (3)/(2) x = - 3`

`- 5 * - (3)/(2) = 7.5`

`8 * - (3)/(2) = - 12`

Substitute new equation and add it to the top equation

`3x + 2y = - 7`

`- 3x + 7.5y = - 12`

`9.5y = - 19`

`y = - 2`

Now plug -2 for y into any equation and solve for x.

`3x + 2( - 2) = - 7`

`3x - 4 = - 7`

`3x = - 3`

`x = - 1`

Answer 2

56/19

Explanation:

I'll approach this using Substitution. Since 3X = 2Y, we know that 1.5X = 1Y. We can plug that into the first equation, which gives us...

2X + 5(1.5X) = 8

2X + 7.5X = 8

9.5X = 8

19X = 16

X = 16/19

While this is not 'pretty', it does match up with how most of the answers are written (four of the answers involve "nineteenths"). With this value of X, we can solve for Y...

3X = 2Y

3(16/19) = 2Y

48/19 = 2Y

24/19 = Y

With the value of X and the value of Y, we can answer the question that's asked:

2X + Y = ?

2(16/19) + 24/19 =

32/19 + 24/19 =

56/19

Final Answer: 56/19