Question

Consider the system of equations:
2
5
x
+
3
8
y
=
−
9
40
−
1.6
x
+
0.8
y
=
2.4
Is the ordered pair
(
−
3
4
,
3
5
)
a solution to this system?
Select one answer
A
No, the ordered pair is not a solution to the system.

B
Yes, the ordered pair is a solution to the system.

C
No, the ordered pair satisfies the first equation but not the second equation.

D
No, the ordered pair satisfies the second equation but not the first equation.

Answer 1

A

Check:
(2/5)(-3/4) + (3/8)(3/5) = -6/20 + 9/40 = -12/40 + 9/40 = -3/40 ≠ -9/40,
and
-1.6(-3/4) + 0.8(3/5) = 1.2 + 0.48 = 1.68 ≠ 2.4.

So the pair is not a solution.