Answer:
x=3. y=6
Step-by-step explanation:
So, to solve x and y, we need to take the equivelent sides of the two triangles, take their equations, and solve them.
So to find what x equals, we can take the 13, and make it equal to the 4x+1:
13=4x+1
Subtract the one from both sides:
12=4x
Divide both sides by 4:
3=x
Or
<u>x=3</u>
So we know the x value is 3.
Now lets solve for y using the bottom equations:
2x+y=8x-2y
Subtract 1y from both sides:
2x=8x-3y
Subtract 8x from both sides:
-6x=-3y
Divide both sides by -6:
x=1/2y
So we already know that x=3, lets plug that in for x, and solve for y:
3=1/2y
Or
1/2y=3
Multiply both sides by 2 to get 1y:
<u>y=6</u>
So we know that y is equal to 6.
Hope this helps!
 
        
             
        
        
        
Answer:
42 adults and 196 children went to the zoo
Step-by-step explanation:
Let
x ----> the number of adults
y ----> the number of children
we know that
The total bill for the 238 people from a school trip was $1330
so
 ----> equation A
 ----> equation A
 ----> equation B
 ----> equation B
Solve the system of equations by graphing
Remember that the solution is the intersection point both graphs
using a graphing tool
the solution is the point (42,196)
see the attached figure
therefore
42 adults and 196 children went to the zoo
 
        
             
        
        
        
Answer:
depends on what the questions are...
Step-by-step explanation:
 
        
                    
             
        
        
        
Usually, we use the number line to solve inequalities with the symbols,
<
,
≤
,
> 
, and
≥
.(the second and last one was rather hard to find on my keyboard) In order to solve an inequality using the number line, though, just turn
the inequality sign to an equal sign. Then, solve the equation. Next step,
graph the point on the number line (remember to graph as an open circle if the
original inequality was <, or >). The number line should now be
divided into 2 regions, one to the left of the graphed point, and one to the
right of said point.
After that, pick a point in both regions and "test" it, check to see if it satisfies
the inequality when plugged in for the variable. If it does, draw a darker line from the point into that region, with an
arrow at the end. That is the solution to the equation: if one
point in the region satisfies the inequality, the entire region will
satisfy the inequality.
I had to check back in an old textbook to remember all of that. Sorry about the earlier answer. That was rather foolish to do so without actually understanding the question.