Mr Daniels Maths
Solving Quadratic Simultaneous Equations

Set 1

Set 2

Set 3

Q1) solve
\( y= x^2 +19 x +21 \)
\(y= 7 x -14 \)
[ \(x= -5, y=-49 \) or \( x=-7, y=-63\)]

Q1) Solve
\( y= x^2 +8 x +27 \)
\(y= -4 x -8 \)
[ \(x= -7, y=20 \)
\( x=-5, y=12\)]

Q1) Solve
\( y= x^2 +10 x +28 \)
\(y= -2 x +8 \)
[ \(x= -2, y=12 \)
\( x=-10, y=28\)]

Q2) solve
\( y= x^2 +26 x +6 \)
\(y= 14 x -14 \)
[ \(x= -2, y=-42 \) or \( x=-10, y=-154\)]

Q2) Solve
\( y= x^2 +12 x +40 \)
\(y= -2 x -8 \)
[ \(x= -6, y=4 \)
\( x=-8, y=8\)]

Q2) Solve
\( y= x^2 +20 x +43 \)
\(y= 6 x +3 \)
[ \(x= -4, y=-21 \)
\( x=-10, y=-57\)]

Q3) solve
\( y= x^2 -9 x +35 \)
\(y= -19 x +19 \)
[ \(x= -8, y=171 \) or \( x=-2, y=57\)]

Q3) Solve
\( y= x^2 +7 x +8 \)
\(y= 4 x +6 \)
[ \(x= -2, y=-2 \)
\( x=-1, y=2\)]

Q3) Solve
\( y= x^2 +19 x +73 \)
\(y= 3 x +9 \)
[ \(x= -8, y=-15 \)
\( x=-8, y=-15\)]

Q4) solve
\( y= x^2 +27 x +8 \)
\(y= 17 x -8 \)
[ \(x= -2, y=-42 \) or \( x=-8, y=-144\)]

Q4) Solve
\( y= x^2 +14 x +8 \)
\(y= 8 x +3 \)
[ \(x= -1, y=-5 \)
\( x=-5, y=-37\)]

Q4) Solve
\( y= x^2 +19 x +51 \)
\(y= 6 x +9 \)
[ \(x= -7, y=-33 \)
\( x=-6, y=-27\)]

Q5) solve
\( y= x^2 +19 x +2 \)
\(y= 11x -13 \)
[ \(x= -5, y=-68 \) or \( x=-3, y=-46\)]

Q5) Solve
\( y= x^2 +7 x +29 \)
\(y= -5 x -3 \)
[ \(x= -8, y=37 \)
\( x=-4, y=17\)]

Q5) Solve
\( y= x^2 +16 x +83 \)
\(y= -3 x -7 \)
[ \(x= -10, y=23 \)
\( x=-9, y=20\)]

Q6) solve
\( y= x^2 +25 x +45 \)
\(y= 12 x +5 \)
[ \(x= -5, y=-55 \) or \( x=-8, y=-91\)]

Q6) Solve
\( y= x^2 +15 x +9 \)
\(y= 8 x -3 \)
[ \(x= -4, y=-35 \)
\( x=-3, y=-27\)]

Q6) Solve
\( y= x^2 +3 x +23 \)
\(y= -9 x +3 \)
[ \(x= -2, y=21 \)
\( x=-10, y=93\)]

Q7) solve
\( y= x^2 +6 x +28 \)
\(y= -4 x +7 \)
[ \(x= -3, y=19 \) or \( x=-7, y=35\)]

Q7) Solve
\( y= x^2 +6 x +22 \)
\(y= -5 x -6 \)
[ \(x= -7, y=29 \)
\( x=-4, y=14\)]

Q7) Solve
\( y= x^2 +26 x +99 \)
\(y= 7 x +9 \)
[ \(x= -9, y=-54 \)
\( x=-10, y=-61\)]

Q8) solve
\( y= x^2 +16 x +39 \)
\(y= 2 x -6 \)
[ \(x= -5, y=-16 \) or \( x=-9, y=-24\)]

Q8) Solve
\( y= x^2 +29 x +97 \)
\(y= 9 x -3 \)
[ \(x= -10, y=-93 \)
\( x=-10, y=-93\)]

Q8) Solve
\( y= x^2 +27 x +80 \)
\(y= 8 x -10 \)
[ \(x= -10, y=-90 \)
\( x=-9, y=-82\)]

Q9) solve
\( y= x^2 +24 x +23 \)
\(y= 10 x -17 \)
[ \(x= -10, y=-117 \) or \( x=-4, y=-57\)]

Q9) Solve
\( y= x^2 +16 x +17 \)
\(y= 6 x -8 \)
[ \(x= -5, y=-38 \)
\( x=-5, y=-38\)]

Q9) Solve
\( y= x^2 -2 x -4 \)
\(y= -7 x -10 \)
[ \(x= -2, y=4 \)
\( x=-3, y=11\)]

Q10) solve
\( y= x^2 +19 x +33 \)
\(y= 11x +17 \)
[ \(x= -4, y=-27 \) or \( x=-4, y=-27\)]

Q10) Solve
\( y= x^2 +11x +68 \)
\(y= -5 x +8 \)
[ \(x= -6, y=38 \)
\( x=-10, y=58\)]

Q10) Solve
\( y= x^2 +5 x +21 \)
\(y= -3 x +9 \)
[ \(x= -2, y=15 \)
\( x=-6, y=27\)]