Question

Select options below
For the system:
2
13
x
+
3
7
y
=
6
4
39
x
−
1
14
y
=
−
1
Multiply the first equation by
Choose...
and the second by
Choose...
to clear the denominators using the least common denominator (LCD). The variable
Choose...
is the better choice to eliminate first.

Answer 1

Multiply the first equation by 364 and the second by 14.

After clearing denominators:
- 364*(2/13 x + 3/7 y) = 364*(6/4) gives 56x + 156y = 546
- 14*(39x − 1/14 y) = 14*(−1) gives 546x − y = −14

Eliminate y first (its coefficient −1 in the second equation makes y the better choice).