Question

Solve the following system of equations.

9x + 4y = 4

-5x + 7y = 7

Answer 1

this is the answer with steps

hope it helps!

Answer 2

The solution is:

`(0, 1)`

Explanation:

We have the following equations

`9x + 4y = 4`

`-5x + 7y = 7`

To solve the system multiply by
`(9)/(5)` the second equation and add it to the first equation

`-5*(9)/(5)x + 7(9)/(5)y = 7(9)/(5)`

`-9x + (63)/(5)y = (63)/(5)`

`9x + 4y = 4`

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`(83)/(5)y=(83)/(5)`

`y=1`

Now substitute the value of y in any of the two equations and solve for x

`9x + 4(1) = 4`

`9x +4 = 4`

`9x = 4-4`

`9x = 0`

`x=0`

The solution is:

`(0, 1)`