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2 years ago

14

3x - 2y= 5, 4x + 3y= 1

2 answers:

Sindrei [870]2 years ago

7 0

Answer:

(1, - 1 )

Step-by-step explanation:

Given the 2 equations

3x - 2y = 5 → (1)

4x + 3y = 1 → (2)

Multiplying (1) by 3 and (2) by 2 and adding the result will eliminate y- term

9x - 6y = 15 → (3)

8x + 6y = 2 → (4)

Add (3) and (4) term by term to eliminate y

17x + 0 = 17

17x = 17 ( divide both sides by 17 )

x = 1

Substitute x = 1 into either of the 2 equations and solve for y

Substituting into (2)

4(1) + 3y = 1

4 + 3y = 1 ( subtract 4 from both sides )

3y = - 3 ( divide both sides by 3 )

y = - 1

solution is (1, - 1 )

Elena-2011 [213]2 years ago

6 0

Answer:

x=17 and y=23 DONT SUE ME IF I GET THIS WRONG PLZZ ;-;

Step-by-step explanation:

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PLEASE HELP AND SHOW WORK!!

aivan3 [116]

> multiply the second equation by 2 and add it to the first equation.
2(-6x - 7y = -10)
-12x -14y = -20

8x + 14y = 4
-12x - 14y = -20
--------------------
- 4x + 0 = - 16
x = -16/-4
x = 4

> use x = 4 in either equation to find y
8(4) + 14y = 4
32 + 14y = 4
14y = 4 - 32
14y = -28
y = -28/14
y = -2

5 0

2 years ago

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Lorico [155]

Answer:

69

Step-by-step

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7 0

2 years ago

Three streets intersect to form a right triangle as shown below. The parts of streets that make up the legs of this triangle are

Burka [1]

Answer:

70 yd.

Step-by-step explanation:

The three streets at the intersection form a right triangle.

For a right triangle, the length of the longest side (called hypothenuse) is given by Pythagorean's theorem:

$h=\sqrt{x^2+y^2}$

where

x is the length of the 1st side

y is the length of the 2nd side

h is the length of the hypothenuse

Here we want to find the hypothenuse.

We have:

x = 42 yd (length of the 1st side)

y = 56 yd (length of the 2nd side)

Substituting, we find h:

$h=\sqrt{42^2+56^2}=70 yd$

7 0

2 years ago

Which of the following points is a vertex for the image produced by a dilation about the origin with a scale factor of 1/2?

MA_775_DIABLO [31]

Answer:

A (0,3)

Step-by-step explanation:

The given trapezoid has vertices:

(0,6), (7,12), (7,9) and (0,12).

We want to choose from the given options, a point that is a vertex for the image produced by a dilation about the origin with a scale factor of 1/2.

Note that the mapping for such a dilation is:

$(x,y)\to( \frac{1}{2} x, \frac{1}{2} y)$

This implies that:

$(0,6)\to(0,3)$

$(7,12)\to(3.5,6)$

$(7,9)\to(3.5,4.5)$

$(0,12)\to(0,6)$

Therefore correct choice is (0,3)

8 0

2 years ago

If f(x)=x/3 -2 and g(x)=3x^2+2x-6 find (f+g)(x)

umka21 [38]

Answer:

(f + g)(x) = 3x² + (7/3)x - 8

Step-by-step explanation:

To find (f + g)(x), you need to add both the f(x) and g(x) equations together.

f(x) = x/3 - 2 ..... which is equal to ... f(x) = (1/3)x - 2

g(x) = 3x² + 2x - 6

(f + g)(x) = ((1/3)x - 2) + (3x² + 2x - 6) <----- Add both equations

(f + g)(x) = 3x² + (1/3)x + 2x - 2 - 6 <----- Rearrange (2 = 6/3)

(f + g)(x) = 3x² + (7/3)x - 8 <----- Simplify similar terms

6 0

1 year ago