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Step2247 [10]
3 years ago
5

How many solutions does this system of

Mathematics
1 answer:
nalin [4]3 years ago
3 0

Answer:

Step-by-step explanation:

3x + 2y = 6

2y = -3x + 6

y = -3/2x + 3.....slope here is -3/2 and y int is 3

-4x + 6y = 15

6y = 4x + 15

y = 2/3x + 5/2.....slope here is 2/3 and y int is 5/2

different slopes, different y int means exactly ONE SOLUTION

You might be interested in
Christian is 3 times as old as marie. marie is 12 years old. how old is christian
skad [1K]
Christian is 36 years old.
8 0
3 years ago
What is 5(n-1)=2(n-4)-6
Shalnov [3]

Answer:

Step-by-step explanation

6n - 6 = 2 (n+1)

Simplify 2 (n+1)

6n - 6= 2n +2

Move all terms related to n to the left side of the equation

4n -6 =2

Move all terms not related to n to the right side of the equation

4n =8

Divide each term by 4 then simplify

n=2  

5 0
3 years ago
Read 2 more answers
Solve for the variable a D =a+b-c/3
yuradex [85]
Hey there,
solving for a is just like you think of all other letter as a constant
i.e the only variable is a
so you need to subtract b as a start
      d=a+b-c/3
-b             -b
=============

    -b+d=a-c/3                now it's time to add c/3 (isolate a by itself in one side)

     -b+d=a-c/3
+c/3         +c/3
==============
c/3-b+d=a

Hence you have solved for a




4 0
3 years ago
11 nickels to 11 dimes are what ratio?
castortr0y [4]

Answer: 11:11

Step-by-step explanation:

The ratio is 11 nickles to 11 dimes, Take away the names of the coins and there is your answer. (If i'm correct)

7 0
4 years ago
Read 2 more answers
Quadrilateral KMPT is dilated by a scale factor of 3/4 to create K'M'P'T'. The perimeter of quadrilateral KMPT is x units. What
777dan777 [17]

Answer:

B) \frac{3}{4} x units

Step-by-step explanation:

Let quadrilateral KMPT be a rectangle with dimensions 12 units by 8 units. Then its perimeter would be equal to:

Perimeter of a rectangle = 2 (l + b)

where: l is the length = 12 units and b is the breadth = 8 units. So that:

Perimeter of KMPT = 2 (12 + 8)

                               = 40 units

Dilating KMPT by a scale factor of \frac{3}{4} would create K'M'P'T' of dimensions; \frac{3}{4} × 12 units by \frac{3}{4} × 8 units. Thus, the dimensions of K'M'P'T' would be 9 units by 6 units.

Perimeter of K'M'P'T' = 2 (l + b)

                                  = 2(9 + 6)

                                  = 30 units

Comparing the perimeters of KMPT and K'M'P'T', the perimeter of K'M'P'T' would be  \frac{3}{4} × perimeter of KMPT.

Therefore, if the perimeter of KMPT is x units, then;

         perimeter of K'M'P'T' = \frac{3}{4} * x units

                                            = \frac{3}{4}x units

6 0
3 years ago
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