Answer :
Take one equation away from the other. This cancels out the -5x, so you can work out y.
-5x+7y=11 -
-5x+3y=19
---------------
4y=-8
y=-2
Then add the y into one of the equations, and solve.
-5x-6=19
-5x=25
x=-5
To check, add both x and y into the other equation.
25-14=11
That is correct, so we know that our working is correct.
x=-5
y=-2
:)
-5x+7y=11 -
-5x+3y=19
---------------
4y=-8
y=-2
Then add the y into one of the equations, and solve.
-5x-6=19
-5x=25
x=-5
To check, add both x and y into the other equation.
25-14=11
That is correct, so we know that our working is correct.
x=-5
y=-2
:)
[tex]\left\{\begin{array}{ccc}-5x+7y=11\\-5x+3y=19&/\cdot(-1)\end{array}\right\\+\left\{\begin{array}{ccc}-5x+7y=11\\5x-3y=-19\end{array}\right\\-------------\\.\ \ \ \ \ \ \ \ 4y=-8\ \ \ \ |divide\ both\ sides\ by\ 4\\.\ \ \ \ \ \ \ \ \ y=-2\\5x-3(-2)=-19\\5x+6=-19\\5x=-19-6\\5x=-25\ \ \ \ \ |divide\ both\ sides\ by\ 5\\x=-5\\\\Answer:x=-5\ and\ y=-2[/tex]
