You can
put this solution on YOUR website!Start with the given system
Plug in
into the first equation. In other words, replace each
with
. Notice we've eliminated the
variables. So we now have a simple equation with one unknown.
Combine like terms on the left side
Subtract 2 from both sides
Combine like terms on the right side
Divide both sides by 3 to isolate x
Divide
Now that we know that
, we can plug this into
to find
Substitute
for each
Simplify
So our answer is
and
which also looks like
)
Notice if we graph the two equations, we can see that their intersection is at
. So this verifies our answer.
Graph of
(red) and
(green)
You can
put this solution on YOUR website!Solve the system of equations:
1)
2)
You can use the substitution method. Substitute the
from equation 1) into equation 2) and solve for x.
Simplify.
Subtract 2 from both sides.
Divide both sides by 3.
Now substitute this value of x into either of the two original equations and solve for y. Let's use equation 1)
Substitute
The solution is: (3, 5) and this is the point of intersection of the two lines represented by the two equations.
(