Answer:
x = 4
y = -1
Explanation:
This is a reasonably simple question, as it just requires us to substitute and rearrange the values
substitute the given value of y (the second equation) into the first equation. this allows the equation to only have one unknown (x)
4x - 3y = 19
y = 3x - 13
4x - 3(3x - 13) = 19
expand out the bracket using the distributive law (let me know if you aren't familiar with this)
4x - 9x + 39 = 19
subtract 39 from both sides and combine like terms
4x - 9x + 39 = 19
-5x + 39 = 19
-5x = 19 - 39
-5x = -20
divide both sides by -5 to get x on its own:
=
x = 4
we have now solved the equations together to find the value of x. we can now substitute this into either equation to solve for y. I will use the second as it has already been arranged to have y as the subject.
y = 3x - 13
y = 3(4) - 13
y = 12 - 13
y = -1
therefore x = 4 and y = -1
to test this you can substitute both these values into either one of the equations to see if they are correct.
hope this helps :)