Mathematics · May / June 2024 · Paper 22 · Question 21
0580
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Solve the simultaneous equations. You must show all your working. y x 4 3 13 + = y x 18 2 = - x = y = or x = y = [5]
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[ ] 4 x 2 + 3 x − 85 = 0 [ ] 2 − + = or 16 y 113 y 7 0 oe simplified correct method to solve their quadratic equation e.g. factors, quadratic formula, completing the square x = −5 y = 7 x = 17 4 oe y = 1 16 oe [7]
M2 M1 for ( ) − 13 3 x − + = − = 4 x 2 18 3 x 13 or x 2 18 4 2 − 13 4 y = − or y 18 oe or better 3 M1 −± −××− 3 3 4 4 2 85 oe, (4x – 17)(x + 5) × 2 4 ( ) ( ) 2 −− ± − −× × 113 113 4 1 6 7 oe, 2 1 6 × (16y – 1)(y – 7)
B2 B1 for one correct pair or two correct x values or two correct y values If B0 scored and at least 2 method marks scored,
SC1 for correct substitution of both of their x values or their y values into 4y + 3x = 13 or y = x2 – 18
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