Question 9(Multiple Choice Worth 5 points) (06.01 MC) Solve the system of equations below. x + y = 8 3x + 2y = 21 (3, 5) (5, 3)
(2, 6) (6, 2)
1 answer:
<h3>
Answer: B. (5,3)</h3>
How to get this answer:
x+y = 8 solves to y = -x+8 after isolating y. You subtract x from both sides.
Plug this into the second equation and solve for x
3x + 2y = 21
3x + 2( y ) = 21
3x + 2( -x+8 ) = 21 ... replace y with -x+8
3x - 2x + 16 = 21
x + 16 = 21
x = 21-16
x = 5
Use this to find y
y = -x+8
y = -5+8
y = 3
We have x = 5 and y = 3 pair up to get the ordered pair solution (5,3)
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