Question

What is the solution to the system of equations {−3x+5y=12 7x−5y=−28?

Answer 1

x=-4 and y=0

Explanation:

Answer 2

`\boxed{x = -4~~and~~y = 0}`

.

Explanation:

Use elimination

-3x + 5y = 12

7x - 5y = -28 +

`4x = -16`

`x = (-16)/(4)`

`x = -4`

.

Subsitute the value of x to one of equations

`-3x + 5y = 12`

`-3(-4) + 5y = 12`

`12 + 5y = 12`

`5y = 12 - 12`

`5y = 0`

`y = (0)/(5)`

`y = 0`

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Happy to help :)