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EastWind [94]
3 years ago
5

Solve this system of equations- x=2y-8 and 4x+y=13

Mathematics
2 answers:
rjkz [21]3 years ago
8 0
(2,5)
thats what i got

Galina-37 [17]3 years ago
7 0
First solution: (x) - 2(y) = -8

Second solution: 4(x) + (y)

For the fraphic of the "respresentation"  on the equation becomes: -2(y) + x = -8; (y) + 4(x) = 13

Now, let's do it this way: x - 2(-4[x] + 13) = -8
                                        9(x) = 18

We found the the x-intercept (which is 2)

(y) = -4(x)

(y) = -4 × 2 + 14 = 5 

x-intercept = 2; y-intercept = 5

Therefore,for your result we came upwith the answer of {2,5} 

Good Luck :)

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A four person relay team completed a race in 72.4 seconds. On average what was each runner's time?
aleksley [76]
Each runners time would be an average of 18.1
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4 0
3 years ago
(1st pic) What is the equation of the line shown in this graph?
vredina [299]

Answer:

For figure 1: The equation of a line is y=1

For figure 2: The equation of a line is y=(-4)x+1

For figure 3:The equation of a line is y=\frac{-5}{2}x+5

Step-by-step explanation:

The equation of line slope-intercept form is given by y=mx+c

Where m is the slope of the line and c is the y-intercept.

For figure 1:

Here, Line is parallel to x-axis

Hence, Slope m=0

Also, Line passing to y axis at (0,1)

Y-intercept is c=1

Therefore,

The equation of line is

y=0x+1

y=1

For figure 2:

Figure show a line passing through point (1,-3) and (-1,5)

The slope of the line is given by m=\frac{Y2-Y1}{X2-X1}

Using given points to find out the slope of a line

m=\frac{Y2-Y1}{X2-X1}

m=\frac{5-(-3)}{(-1)-1}

m=\frac{8}{-2}

m=(-4)

Also, Line is intersecting y-axis at (0,1)

Hence, c=1

We can write the equation of line as

y=mx+c

y=(-4)x+1

Thus, The correct option is D). y=(-4)x+1

For figure 3:

From the figure, a line is passing through points (-2,0) and (0,5)

The slope of the line is given by m=\frac{Y2-Y1}{X2-X1}

Using given points to find out the slope of a line

m=\frac{Y2-Y1}{X2-X1}

m=\frac{5-0}{0-(-2)}

m=\frac{-5}{2}

Also, Line is intersecting y-axis at (0,5)

Hence, c=5

We can write the equation of line as

y=mx+c

y=\frac{-5}{2}x+5

4 0
3 years ago
your sister is selling girl scout cookies that cost $4.25 a box. your family bought 6 boxes. how many more boxes of cookies must
Nataly [62]
$4.25 • 6= $25.5
$255-$25.5= $229.5
$229.5/$4.25= 54 boxes of cookies
6 0
2 years ago
When Justin goes to work, he drives at an average speed of 60 miles per hour. It takes about 1 hour and 30
dexar [7]

Answer:

$13.14

Step-by-step explanation:

60 mi/1 hour = x mi/1.5 hours

x = 90 mi to drive to work

25 mi/1 gallon = 90 mi/y gallons

y = 3.6 gallons to get to work

$3.65/1 gallon = $z/3.6 gallons

z = $13.14

6 0
3 years ago
Please help if possible :)
n200080 [17]

9514 1404 393

Answer:

  (a) no

  (b) no

Step-by-step explanation:

The two questions are asking essentially the same thing. There is nothing that indicates DC ≅ DB or that AC ≅ AB. One (both) of these conditions is (are) required for ΔBAC to be isosceles, so that AD is both a perpendicular bisector of BC and a bisector of angle BAC.

There is not enough information to answer either question affirmatively.

8 0
3 years ago
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