# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2016 | June | Q#5

Question Solve the simultaneous equations Solution We are given simultaneous equations; We rearrange the first equation to find y in terms of x. Substituting this  from first equation in the second equation; We have the algebraic formula; Now we have two options. By substituting one-by-one these values of  in first equation, we can find corresponding values of . For […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2015 | June | Q#2

Question Solve the simultaneous equations Solution We are given simultaneous equations; We rearrange the first equation to find y in terms of x. Substituting this  from first equation in the second equation; We have the algebraic formula; Now we have two options. By substituting one-by-one these values of  in first equation, we can find corresponding values of  . For […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663A/01) | Year 2014 | January | Q#3

Question Solve the simultaneous equations Solution We are given simultaneous equations; We rearrange the first equation to find x in terms of y. Substituting this  from first equation in the second equation; We have the algebraic formula; Now we have two options. By substituting one-by-one these values of  in first equation, we can find corresponding values of . For […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2013 | June | Q#10

Question Given the simultaneous equation; Where k is a non zerp constant. a.   Show that Given that  has equal roots, b.   find the value of K. Solution a.   We are given that; To write a single equation in terms of x and k, we find expression for y from first equation; We substitute this expression of y […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2011 | June | Q#4

Question Solve the simultaneous equations Solution We are given simultaneous equations; We rearrange the first equation to find y in terms of x. Substituting this  from first equation in the second equation; We have the algebraic formula; Now we have two options. By substituting one-by-one these values of  in first equation, we can find corresponding values of . For […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2010 | January | Q#5

Question Solve the simultaneous equations Solution We are given simultaneous equations; We rearrange the first equation to find y in terms of x. Substituting this  from first equation in the second equation; We have the algebraic formula; Therefore; Now we have two options. By substituting one-by-one these values of  in first equation, we can find corresponding values of . […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2007 | June | Q#6

Question a.   By eliminating y from the equations y= x–4, 2×2– xy = 8, show that x2+ 4x – 8 = 0. b.   Hence, or otherwise, solve the simultaneous equations y= x–4, 2×2– xy = 8, giving your answers in the form , where a and b are integers. Solution a.     We are given equations; […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2007 | January | Q#4

Question Solve the simultaneous equations Solution We are given simultaneous equations; Substituting this for  from first equation in the second equation; We have the algebraic formula; Therefore; Now we have two options. By substituting one-by-one these values of  in first equation, we can find corresponding values of . For For Hence, there are following two solutions of the given simultaneous […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2005 | January | Q#4

Question Solve the simultaneous equations Solution We are given simultaneous equations; Rearranging the first equation we get expression for ; Substituting this for  in the second equation; We have the algebraic formula; Therefore; Now we have two options. By substituting one-by-one these values of  in above derived expression of , we can find  corresponding values of . For For Hence, there […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2005 | June | Q#5

Question Solve the simultaneous equations Solution We are given simultaneous equations; Rearranging the first equation we get expression for ; Substituting this for  in the second equation; We have the algebraic formula; Therefore; For a quadratic equation , the expression for solution is; For the above equation; Now we have two options. By substituting one-by-one these values of  in above derived […]