Hey there!
When we are given what one of our variables is equal to, we can easily solve the system of equations via substitution, which is where we take the variable value, plug it into the other equation, and solve for the other variable.
In this case, we just take our value for y and plug it in for the value for y in the first equation and solve for x.
2(-x+7)=14-2x
-2x+14=14-2x
-2x=-2x
x=x
As we can see, there are infinitely many soultions to this first equation, which means that there is no possible way to solve for y because x has infinitely many solutions, so there are infinitely many solutions to this system of equations, because they are both the same line.
I hope this helps!
12(x+3)=4(2x+9)+4x
12x+36=8x+36+4x
12x+36=12x+36
12x=12x
0=0
true for all x
A total of 168 non-commercial vehicles and 60 commercial vehicles use the country's highways during September.
Step-by-step explanation:
Step 1:
Assume the number of non-commercial vehicles to be x and the number of commercial vehicles to be y.
It is given that for every 14 non-commercial vehicles there will be 5 commercial vehicles. So a ratio can be formed as follows;
=
, cross multiplying, we get
, take this as equation 1.
Step 2:
It is also given that there were 108 more non-commercial vehicles than commercial vehicles. So
, take this as equation 2.
If we solve equations 1 and 2, we will get the values of x and y.
Step 3;
Substitute equation 2 in equation 1.
,
,
.
Substitute
in equation 2.
.
So x = 168 and y = 60.
So a total of 168 non-commercial vehicles and 60 commercial vehicles use the country's highways during September.
Answer:
x = - 46
Step-by-step explanation:
See photo for step by step process. Correct me if I'm wrong. I hope it helps.
Answer:
17 students
Step-by-step explanation:
the bus will take all the students so
932.50 - 550 = 382.5
and a meal for each student so
382.5 ÷ 22.5 = 17