Answer:
<u>The system has two solutions:</u>
<u>x₁ = 5 ⇒ y₁ = -10</u>
<u>x₂ = -2 ⇒ y₂ = 11</u>
Step-by-step explanation:
Let's solve the system of equations, this way:
y = -3x + 5
y = x ² - 6x - 5
Replacing y in the 2nd equation:
y = x ² - 6x - 5
-3x + 5 = x ² - 6x - 5
x ² - 3x - 10 = 0
Solving for x, using the quadratic formula:
(3 +/- √(9 -4 * 1 * -10))/2 * 1
(3 +/- √9 + 40)/2
(3 +/- √49)/2
(3 +/- 7)/2
x₁ = 10/2 = 5
x₂ = -4/2 = -2
x₁ = 5 ⇒ y₁ = -10
x₂ = -2 ⇒ y₂ = 11
<u>As we can see the system has two different solutions</u>
Answer:
1) 1/6, 1/3, 1/2, 3/4
2) 3/10, 2/5, 7/10, 4/5
3) 1/4. 7/12. 2/3, 5/6
4) 4/15. 11/30, 2/5, 7/10
Step-by-step explanation: Either convert all in a set to a common denominator, or convert to decimal fractions.
Proportional because there is no + x at the end<span />
The two numbers would be 36 and 12
36 + 12 = 48
36 - 12 = 48
Answer:
A. 1/3
Step-by-step explanation:
2-3/-5--2=
2-3/-5+2=
-1/-3=
1/3
