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The pair ax + by = 18 and bx + ay = 17 has the solution… | StemPy Lab
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The pair ax + by = 18 and bx + ay = 17 has the solution x = 2 and y = 3. What is a + b?
Mathematics
Hard
High School (9–10)
General
Algebra › Pairs of Linear Equations
Olympiad
SAT
Created by
StemPy Lab
The pair
a
x
+
b
y
=
18
ax + by = 18
a
x
+
b
y
=
18
and
b
x
+
a
y
=
17
bx + ay = 17
b
x
+
a
y
=
17
has the solution
x
=
2
x = 2
x
=
2
and
y
=
3
y = 3
y
=
3
. What is
a
+
b
a + b
a
+
b
?
17
17
17
12
12
12
7
7
7
1
1
1
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