Question

Consider the system of equations:
y
=
4
x
+
3

y
=
−
x
+
8
Is the ordered pair
(
1
,
7
)
a solution to this system?
Select one answer
A
Yes,
(
1
,
7
)
is a solution to the system.

B
No,
(
1
,
7
)
only satisfies the first equation.

C
No,
(
1
,
7
)
only satisfies the second equation.

Answer 1

A. Yes, (1, 7) is a solution.

Check: For x = 1, 4x + 3 = 4(1) + 3 = 7 and −x + 8 = −1 + 8 = 7, so y = 7 satisfies both equations.