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Tema [17]
3 years ago
9

What is the x value in the soulution to this system of linear equation 2x-y=11 x+3y=-5

Mathematics
1 answer:
ollegr [7]3 years ago
7 0

Answer:x=7

Step-by-step explanation:

2x-y=11  equation1

x+3y=-5  equation2

multiplying equation 2 by 2 in order to cancel x

2(x+3y=-5)

2x+6y=-10   equation 3

subtacting equation 1 and 3

2x-2x-y-6y=11-(-10)

-7y=21

y=-3

put the value of y in equation 1 to find the value of x

2x-(-3)=11

2x=11+3

2x=14

x=7

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Pls help tap picture to see the three problems
valentinak56 [21]
1. Slope intercept form. First find two points to get slope: (0,-3) and (-3,-4). Slope is
(-4 - -3)/(-3 - 0)= 1/3
Use one of the points of (x,y) to solve for b
Y=1/3x + b
-3 = 1/3(0) + b
-3 = b so your slope intercept equation is
Y = 1/3x - 3

2. Rate of Change is slope. Your points are (0,10) and (24,6) so slope is (6-10)/(24-0)
= - 1/6 which means that for each 1 unit increase in x, y decreases by 1/6.

3. Standard form is ax + by =c
Notice it is the same line as in the first graph so it's the same equation
y = 1/3x - 3
First, you cannot have fractions, so you have to multiply the equation by 3 to get rid of the 1/3.
3y= x - 9. Now move the x over:
-x + 3y = - 9. Now get rid of the negative value on x by multiplying the entire equation by -1:
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3 years ago
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BlackZzzverrR [31]
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6 0
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AnnyKZ [126]
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3 0
3 years ago
On a bicycle trail, the city is painting arrows like the one shown below: Upper pointing arrow with height of 11 and length of 9
Studentka2010 [4]

The image of the arrow is missing, so i have attached it.

Answer:

A_t = 69.5 cm²

Step-by-step explanation:

In a second image attached, I have divided the arrow into triangle and rectangle.

From the second image,

A1 is area of triangle while A2 is area of rectangle

Area of triangle is; A1 = ½bh

Our triangle base is given as 9 cm.

To get the height, we will subtract the rectangle height of 8 cm from the total arrow height.

Thus; height of triangle; h = 11 - 8 = 3cm

Thus;

A1 = ½ × 9 × 3

A1 = 13.5 cm²

Formula for area of rectangle is;

A2 = length × breadth

A2 = 8 × 7

A2 = 56 cm²

Thus, total area of arrow is;

A_t = A1 + A2 = 13.5 + 56

A_t = 69.5 cm²

8 0
2 years ago
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