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DerKrebs [107]
3 years ago
13

Solve the simultaneous equations

Mathematics
2 answers:
satela [25.4K]3 years ago
7 0
I use the substitution method, but you can also use elimination and matrix

1. Solve for y in 3x+y=14
y=14-3x

2. Substitute y=14-3x into x+2y=3
-5x+28=3

3. Solve for x in -5x+28=3
x=5

4. Substitute x=5 into y=14-3x
y=-1

5. Therefore,
x=5
y=-1

Have a nice day :D
Iteru [2.4K]3 years ago
5 0
You can use a bunch of different methods here, but I'll use substitution.

For the second equation, you can bring the 2y to the right side to isolate the x:

x=-2y+3

You can then substitute this into the first equation to find out y:

3x+y=14
3(-2y+3)+y=14
-6y+9+y=14
-5y=5
y=-1

Now you can plug in y to the second equation to find x:

x=-2y+3
x=-2(-1)+3
x=2+3
x=5

Therefore:
x=5
y=-1
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Choose the correct simplification of the expression (8x − 5)(2x2 − 5x − 6). (1 point)
OleMash [197]
The easiest terms to check are the first (8x)(2x²) = 16x³ and the last (-5)(-6) = 30. This check eliminates the first choice. The remaining choices differ only in the sign and coefficient of the squared term, so that is the one we need to find.

The squared term will be the sum of the products of factors whose degrees total 2:
  (8x)(-5x) + (-5)(2x²) = -40x² -10x² = -50x²

The appropriate choice is
  16x³ -50x² -23x +30
6 0
3 years ago
What is the difference between<br> 7z<br> and z to the power of 7
agasfer [191]

Answer:

7z is the sum of seven 'z's while z to the power of z is the multiplication of z to itself z times.

Step-by-step explanation:

7z is 7 times of z.

7z= z +z +z +z +z +z +z

z⁷ (z to the power of 7) is multiplying z by itself 7 times.

z⁷= z ×z ×z ×z ×z ×z ×z

3 0
2 years ago
Given the speed of each runners below determine who runs fastest
Tom [10]
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Since they already gave you the answer to Jack see which amount is the highest

Hope this helped :)
8 0
3 years ago
Evaluate C(8, 2). 56<br> 28<br> 40,320<br> 20,160
algol13

Answer:

option B

28

Step-by-step explanation:

Given in the question,

C(8,2)

Formula to use

<h3> nCr = n! / r! * (n - r)!</h3>

here n = 8

        r  = 2

We have to calculate combinations of 8 object taken 2 at a time, then

C(8,2)  

8C2

8! / 2! * (8 - 2)!

\frac{8*7*6*5*4*3*2*1}{2*1(6!)}

\frac{8*7*6*5*4*3*2*1}{2*1(6*5*4*3*2*1)}

\frac{8*7}2

56/2

28

So, 8C2 = 28

3 0
3 years ago
How do I work out 5(a-5)=70 ?
Mama L [17]

Answer:

5a-25=70

5a=70+25

a=95/5

a=19

Step-by-step explanation:

since  a(b+c) = ab+ac

5 0
3 years ago
Read 2 more answers
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