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)
Answer:
x = 13
Step-by-step explanation:
For this problem, we will simply uses properties of addition and multiplication to isolate the x variable for the following equation.
4x - 7 = 45
Now consider the following. First, we must isolate the x term by adding 7 to both sides.
4x - 7 = 45
4x -7 +7 = 45 +7
4x = 52
Second, let's further isolate x by multiplying both sides by 1/4 to create a coefficient of 1 Infront of the x variable.
4x = 52
(1/4) * 4x = 52 * (1/4)
x = 13
Hence, we have solved the equation 4x-7=45 where x=13.
Cheers.
<span>-4(5x6)
=</span><span>-4(30)
= - 120</span>
Answer:
4
Step-by-step explanation:
37 times 3 is 111 and since there are 30 pencils in each box they would need 4 boxes which gives them 120 pencils.
1/23 = 0.043
I hope this helps :)