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ikadub [295]
3 years ago
7

Solve the system of equations. 4х – 3y = 12 3х + 6у = 42

Mathematics
2 answers:
Firdavs [7]3 years ago
8 0

Answer: B. (6,4)

Find x for the 2nd equation

3x + 6y = 42

3x = 42-6y

x= (42-6y) / 3

Place the value of x in the first equation and find for y then.

4x - 3y= 12

4{(42-6y)/3} - 3y = 12

So the answer for y is 4

Now, you know the value of y is 4.

4x - 3*4 = 12

4x - 12 = 12

x= 12+12 /4

x= 6

So x is 6 and y is 4. So the answer is B.

Shkiper50 [21]3 years ago
6 0
The answer would be B) 6, 4

mark me brianliest if i was correct!
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Alborosie

Answer:

-10

Step-by-step explanation:

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6 0
3 years ago
12 is 75% of what number?
wolverine [178]
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8 0
3 years ago
What are the coordinates of the point LaTeX: \frac{3}{4}\:3 4of the way from A to B? coordinate plane with line segment AB. Poin
egoroff_w [7]

Answer: \left(\dfrac{-7}{2},\dfrac{5}{4}\right).

Step-by-step explanation:

It is given that Point A is at (-5, -4) and point B at (-3, 3).

We need to find the coordinates of the point which is 3/4 of the way from A to B.

Let the required point be P.

AP:AB=3:4

AP:PB=AP:(AB-AP)=3:(4-1)=3:1

It means, point P divides segment AB in 3:1.

Section formula:  If a point divides a line segment in m:n, then

\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)

Using section formula, we get

P=\left(\dfrac{3(-3)+1(-5)}{3+1},\dfrac{3(3)+1(-4)}{3+1}\right)

P=\left(\dfrac{-9-5}{4},\dfrac{9-4}{4}\right)

P=\left(\dfrac{-14}{4},\dfrac{5}{4}\right)

P=\left(\dfrac{-7}{2},\dfrac{5}{4}\right)

Therefore, the required point is \left(\dfrac{-7}{2},\dfrac{5}{4}\right).

6 0
3 years ago
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