Q. Is (1,7) a solution to this system of equations?x+2y=152x+2y=16Choices:(A) yes(B) no
First Equation Check: We have the first equation:x+2y=15Does the point (1,7) satisfy the first equation?x+2y=151+2(7)=151+14=1515=15Yes, the point (1,7) satisfies the first equation.
Second Equation Check: We have the second equation:2x+2y=16Does the point (1,7) satisfy the second equation?2x+2y=162(1)+2(7)=162+14=1616=16Yes, the point (1,7) satisfies the second equation.
Final Solution Verification: We found:(1,7) satisfies the equation x+2y=15.(1,7) satisfies the equation 2x+2y=16.Is (1,7) a solution to the system of equations?x+2y=152x+2y=16Both equations are true when (x,y)=(1,7).Yes, (1,7) is a solution to the system of equations.
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