Answer:
So the Point of intersection is (-4,-2)
Which is option A
Step-by-step explanation:
The given system of equations is
-0.1x - 0.8y = 2 ...................(i)
0.6x - 0.5y = -1.4 ...................(ii)
Let us take equation (i) and use method of substitution for solving it
the equation (i) is
-0.1 x - 0.8y = 2
Adding 0.8y on both sides
-0.1 x + 0.8 y - 0.8 y = 2 + 0.8 y
-0.1 x = 2 + 0.8 y
Dividing both sides -0.1
x = -8 y - 20 ..........................(iii)
Now we will use this value and put it into equation (ii) to find the value of y
Equation (ii) is
0.6 x - 0.5 y = -1.4
Put value of x
0.6(-8 y - 20) - 0.5 y =-1.4
It becomes
-4.8 y - 12 - 0.5 y = -1.4
adding 12 on both sides
-4.8 y - 0.5 y - 12 + 12 = -1.4 + 12
it becomes by solving
-5.3 y = 10.6
Dividing both sides by -5.3
So
y = -2
Now we have the value of y putting it in equation (iii)
Equation (iii) is
x = -8 y - 20
Putting value of y
x = -8*(-2) - 20
x = 16-20
x=-4
So the Point of intersection is (-4,-2)
<h3>How can she find the coordinates of the new point without graphing the point?</h3>
- If you know the coordinates of any two points on a straight line, you can compute its slope without looking at its graph. Every point has two coordinates: an x-value and a y-value, which are expressed as an ordered pair (x, y). The x value indicates the horizontal location of a point.
<h2>☆彡Hanna</h2>
#CarryOnLearning
Answer:
A
Step-by-step explanation:
To determine which point is a solution, substitute the x- coordinate into the right side of the inequality and compare it's value to the y- coordinate of the point.
A (0, 2)
2x - 1 = 0 - 1 = - 1 → 2 ≥ - 1 ⇒ (0, 2) is a solution
B (4, 1)
2x - 1 = (2 × 4) - 1 = 8 - 1 = 7 → 1 < 7 ⇒ (4, 1) is not a solution
C (0, - 10)
2x - 1 = 0 - 1 = - 1 → - 10 < - 1 ⇒ (0, - 10) is not a solution
D (4, 2)
2x - 1 = (2 × 4) - 1 = 8 - 1 = 7 → 2 < 7 ⇒ (4, 2) is not a solution
Answer:
The answer is A for this
Since A is the only graph showing correct location of the coordinates of F and G while the others showing different coordinates of these 2 points.
