MCR3UI
Solve each system of equations.
a) 𝑦 + 25 = 0
b) 𝑦 = 2𝑥
2
𝑥 +𝑦 = 0
𝑦 − 𝑥2 = 0
d)
𝑦 = 4𝑥 2
e) 𝑥 + 𝑦 = 4
c)
𝑦 = 𝑥2 + 3
3𝑥 + 𝑦 = 1
f)
𝑦 = 𝑥2 + 5
1
𝑦 = 2 𝑥2
12𝑥 − 𝑦 − 9 = 0
𝑥+𝑦=2
g)
2𝑦 − 𝑥 2 = 0
2𝑥 + 𝑦 = −2
h)
𝑥 + 4 = (𝑦 − 1) 2
𝑦+𝑥 +1 =0
i)
𝑥+𝑦=6
𝑦 = 𝑥 2 − 8𝑥 − 2
j)
𝑦 = −3𝑥 + 5
𝑦 = −2𝑥 2 + 4𝑥 − 1
k)
2𝑥 − 𝑦 − 10 = 0
𝑦 = 𝑥 2 − 8𝑥 + 20
l)
𝑦 = 5𝑥 2 − 20𝑥 + 23
𝑦 = −𝑥 2 + 4𝑥 + 5
2 2
1e) (𝑥, 𝑦) ∈ { (−4, 8) , (2, 2) } 1f) (𝑥, 𝑦) ∈ { }
3 1
1j) (𝑥, 𝑦) ∈ ቄ (2, −1) , ቀ , ቁቅ 1k) (𝑥, 𝑦) ∈ {⬚}
Answers
1a) (𝑥, 𝑦) ∈ {(5, −25) , ( −5, −25) }
1g) (𝑥, 𝑦) ∈ {( −2, 2) } 1h) (𝑥, 𝑦) ∈ {(0, −1) , (−3, 2)}
1l) (𝑥, 𝑦) ∈ {(3, 8) , (1, 8) }
1b) (𝑥, 𝑦) ∈ { (0, 0), (2, 4) }
1c) (𝑥, 𝑦) ∈ {( −2, 7) , (−1, 4)) }
1i) (𝑥, 𝑦) ∈ {(8, −2) , (−1, 7) }
2
3
1d) (𝑥, 𝑦) ∈ ቄቀ , 9ቁቅ
1.
Solving Linear-Quadratic Systems Algebraically