She would have traveled 24 miles since from the house to the supermarket is 7 miles then from the supermarket to the municipal building is 5 miles then back 7 miles and then 5 miles. If you add all of that together then you will get 24 miles.
Answer:
Translation
Step-by-step explanation:
To keep a shape congruent or the same then you can Translate or to slide the shape not to change any sides.
1). Since you have -2y and 4y, elimination is easy to do for solving for x..
Keep the first equation and multiply the second equation by 2. Then add.
5x - 2y = -1
8x + 4y = 56
10x - 4y = -2
8x + 4y = 56
-----------------
18x = 54
x = 3
Now we can use substitution to solve for y.
Substitute 3 for x in the first original equation and solve for y.
5x - 2y = -1
5(3) - 2y = -1
15 - 2y = -1
-2y = -16
y = 8
(3, 8)
2.)
3x - y = =16
-4x - y = 21
Multiply both sides of the first equation by -1 to change all signs. Then when you add the equations, you eliminate y and solve for x.
-3x + y = 16
-4x - y = 21
-----------------
-7x = 37
x = -37/7
Now multiply the first original equation by 4 and the second original by 3 to eliminate x and solve for y.
12x - 4y = -64
-12x - 3y = 63
---------------------
-7y = -1
y = 1/7
Solution: (-37/7, 1/7)
Answer:
(-3,6)
Step-by-step explanation:
y = 1/3 x +7
y = -2x
The question is asking you to find a value for x that would satisfy both equations.
Since y is equal to y ( y=y) you can set both of these equations equal to each other. You would get:
-2x = 1/3 x +7
now you can do some algebra to isolate the x on one side solving for it, this gives you:
-2x - 1/3 x = 7....... -6/3 x - 1/3 x = 7 ...... -7/3 x = 7 ...... -7x = 21 ..... x = -3
Now you have x = -3, and if you plug this into an equation , lets say the second one since it's easier to solve you get:
y = -2(-3) .... y=6
This means when you graph these two equations they should intersect at the point (-3,6)
We can put it into point slope form first, y-y1=m(x-x1), where m is the slope and (x1,y1) is any point on the line.
y--7=(-2/3)(x-0)
y+7=-2x/3, slope intercept form is y=mx+b, so we simply need to solve for y.
y=-2x/3-7
