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consider the two equations two x plus y is equal to seven and also three x plus five y is equal to twenty one is the ordered pair 2 comma 3 is it a solution well lets find out the first value is the x value the second value is the y value so lets start with the first equation lets replace x with two and y with three and lets see if its equal to seven now two times two is equal to four and four plus three is indeed equal to seven so the ordered pair works for the first equation but for it to be true it must also work for the second equation so now lets replace x with two and y with three just as we did before three times two is six five times three is fifteen and 6 plus 15 equals 21. so therefore this ordered pair works for the second equation so that ordered pair is the solution now lets try another example lets say if we have the equation 3x minus 2y is equal to 16 and also 2x plus 5y is equal to negative 3. is the point 4 comma negative 2 and ordered pair feel free to pause
