Answer: [A]: " (3, 10) ".
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Explanation:
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Since: y = 2x +4 = 3x + 1 ; Solve for "x" ;
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2x + 4 = 3x + 1 ;
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Subtract "2x" and subtract "4" from each side of the equation:
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2x + 4 − 2x − 4 = 3x + 1 − 2x − 4 ;
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to get: 0 = x − 3 ;
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Add "3" to both sides of the equation:
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0 + 3 = x − 3 + 3 ;
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to get: 3 = x ;
↔ x = 3 ;
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Now, let us plug "3" into "x" for one of the equations given, to solve for "y" ;
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Start with the first equation:
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y = 2x+4 ; y = (2*3) + 4 ; y = 6 + 4 ; y = 10 .
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Let us try with the second equation, to check our answer:
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y = 3x +1 ; y = (3*3) + 1 ; y = 9 + 1 ; y = 10 ; Yes!
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So, x = 3, y = 10 ; or (3, 10) ; which is: Answer choice: [A].
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