Question

Solve the simultaneous equations

−
x
+
6
y
=
−
26
x
+
5
y
=
−
18

Answer 1

x=2, y = -4.

or as an ordered pair it is (2, -4).

Explanation:

-x + 6y = -26

x + 5y = -18 Add these 2 equations to eliminate x:

0 + 11y = -44

y = -44/11 = -4.

Now substitute y = -4 in the first equation:

-x + 6(-4) = -26

-x - 24 = -26

-x = -26 + 24 = -2

x = 2.

Check the result by substituting in equation 2:

x + 5y = 2 + 5(-4) = 2 - 20 = -18 - checks out.