Determine whether the order pair (3,1) is a solution to the system of equations
2 answers:
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Answer: (7,3)
Step-by-step explanation:
<u>[Please check]:</u> I decoded the equations as follows:
3x-4y=9 and −5x+4y=-23
We can solve this by either of two methods: Algebra and graphing.
<u>Algebra:</u>
Add the two equations:
3x-4y=9
<u> −5x+4y=-23</u>
-2x = -14
x = 7
Use x=7 to solve for y:
3x-4y=9
3(7)-4y=9
21 -4y = 9
-4y = -12
y = 3
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The solution is (7,3)
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<u>Graphing:</u>
See the attached graph. The lines intersect at (7,3)
