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10. does (x, y) = (3, 4) solve the system x + y = 7, 2x + 3y = 15? a ye…

Question

  1. does (x, y) = (3, 4) solve the system x + y = 7, 2x + 3y = 15?

a yes, satisfies both
b. yes, only first
c. no, only second
d. no, neither
priority standard: hsa.ced.a.3 - represent constraints and interpret solutions.
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Explanation:

Step1: Test first equation

Substitute $x=3$, $y=4$ into $x+y=7$:
$3+4=7$
$7=7$, which is true.

Step2: Test second equation

Substitute $x=3$, $y=4$ into $2x+3y=15$:
$2(3)+3(4)=6+12=18$
$18
eq15$, which is false.

Answer:

B. Yes, only first