QQuestionMathematics
QuestionMathematics
Is (3, - 4) a solution to this system of equations?
1. $5 x+ 2 y= 1$
2. $8 x+ 5 y= 1$
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Answer
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Step 1:I'll solve this step by step:
Step 2:: To check if (3, - 4) is a solution, we'll substitute x = 3 and y = - 4 into both equations and verify if they are true.
Step 3:: Check the first equation 5x + 2y = 7
7 = 7$$ ✓ (This equation checks out)
• Substitute x = 3 and y = - 4
Step 4:: Check the second equation 8x + 5y = 4
4 = 4$$ ✓ (This equation also checks out)
• Substitute x = 3 and y = - 4
Final Answer
Yes, the point (3, - 4) is a solution to this system of equations, as it satisfies both equations when substituted.
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