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Tresset [83]
3 years ago
13

2x+3y=6 x+2y=5 elimination

Mathematics
1 answer:
ValentinkaMS [17]3 years ago
4 0
In this equation you can eliminate the x value
multiply the second equation by -2 and you get:
-2x - 2y = -10 
when you add the two equations the x factors will cancel

   2x + 3y = 6
-  2x - 2y = -10 
---------------------
             y = 16

you can find the x value by plugging the y value that you now know into one of the equations that you started off with.


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Solve the system of linear equations by graphing <br> y=1/3x+5<br> y=2/3x+5<br> What is the solution
Tamiku [17]

Answer:

We have the system of equations:

y=1/3x+5

y=2/3x+5

To solve it graphically, we need to graph both lines and see in which point the lines intersect.

You can see the graph below, and you can see that the lines intersect in the point (0, 5)

Now, we can also solve this analytically.

We can use the fact that for the solution, we need y = y.

Then we can write:

(1/3)*x + 5 = (2/3)*x + 5

First, we can subtract 5 in both equations to get:

(1/3)*x = (2/3)*x

This only has a solution when x = 0.

Replacing x = 0 in one of the equations, we get:

y = (1/3)*0 + 5 = 5

Then the solution is x = 0, and y = 5, as we already could see in the graph.

3 0
2 years ago
Find the equaton of the line passing through the points (2,11) and (-8, -19) y= ?x ?​
antoniya [11.8K]

Find the slope:

(-19 - 11) / (-8 - 2) = (-30/-10) = 3

Find the y intercept:

y = mx + b

11 = 3(2) + b

b= 5

So equation is:

y = 3x + 5

5 0
2 years ago
1) Three bags of candies cost $5.75. Find the cost per bag.
FrozenT [24]

Answer:

$1.92

Step-by-step explanation:

To find the cost per bag we divide the total cost by the amount of bags so:

$5.75 / 3 = $1.91666667 per bag, which we can round up to $1.92 per bag.

7 0
2 years ago
Read 2 more answers
To walk to her friend's house, Cristal normally walks 63 yards north and 16 yards east as shown. How many
ANEK [815]

Answer:

65 yd

Step-by-step explanation:

The image of this walking path of Cristal is missing, so i have attached it.

From the image attached, we can see that the path "x" is the hypotenuse path a the triangle.

Thus, we can use pythagoras theorem to find the area. Thus;

x² = 16² + 63²

x = √(16² + 63²)

x = √4225

x = 65 yd

5 0
3 years ago
A city planner is rerouting traffic in order to work on a stretch of road. The equation of the path of the old route can be desc
earnstyle [38]

Answer: D

Explanation:

The equation of a line in the point slope form is expressed as

y - y1 = m(x - x1)

where

m represents slope

x1 and y1 represents coordinates of the point that the line passes.

From the information given, the equation of the path of the old route is

y = 2x/5 - 4

Recall, the equation of a line in the slope intercept form is expressed as

y = mx + c

By comparing both equations,

slope, m = 2/5

If two lines are parallel, it means that they have the same slope. Given that the new route is to be parallel to the old route and will go through point (Q, P), then

m = 2/5

x1 = Q

y1 = P

The equation of the new route be

y - P = 2/5(x - Q)

5 0
10 months ago
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