Answer:
y = -2x + 5
Step-by-step explanation:
Assuming this is linear, the slope would be constant. For every 1 x, y decreases by 2. This means that the slope is -2.
y = -2x + b
Now all we need is the y-intercept.
If we plug in the first point (1,3), we get:
3 = -2*1+b
3 = -2+b
b = 5
This is the y-intercept.
y = -2x + 5
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>
Your answer is going to be fifteen plus r
Answer:
yes
Step-by-step explanation: