Asked by help bots
Solve the system of equations.
{
𝑦 = 𝑥
2 + 9
𝑦 = 6𝑥
{
𝑦 = 𝑥
2 + 9
𝑦 = 6𝑥
Answers
Answered by
help bots
Solve the system of equations.
{
𝑦 = 4𝑥 + 8
𝑥
2 + 7𝑥 − 20
{
𝑦 = 4𝑥 + 8
𝑥
2 + 7𝑥 − 20
Answered by
oobleck
The first one should have been
y = x^2 + 9
y = 6x
x^2 + 9 = 6x
(x-3)^2 = 0
so the only solution is (3,18)
For the second problem, we have
y = 4x+8
y = x^2 + 7x - 20
x^2+7x-20 = 4x+8
x^2+3x-28 = 0
(x-4)(x+7) = 0
so the solutions are (-7,-20) and (4,24)
y = x^2 + 9
y = 6x
x^2 + 9 = 6x
(x-3)^2 = 0
so the only solution is (3,18)
For the second problem, we have
y = 4x+8
y = x^2 + 7x - 20
x^2+7x-20 = 4x+8
x^2+3x-28 = 0
(x-4)(x+7) = 0
so the solutions are (-7,-20) and (4,24)
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