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3 years ago

Solve the simultaneous equations 2x+3y=9 4x+y=13

Mathematics

1 answer:

zlopas [31]3 years ago

4 0

Answer:

x=3, y=1

Step-by-step explanation:

2x+3y=9. Equation 1

4x+y=13 Equation 2

y=13-4x. Modify equation 2 to isolate y

2x+3(13-4x)=9 subst value of y of equation 2 into equation 1

2x+39-12x=9 solve equation

-10x+39=9

-10x=-30

x=3

solve for y

2x+3y=9

2(3)+3y=9

6+3y=9

3y=3

y=1

Check answer:

4x+y=13

4(3)+1=13

13=13

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-5n+8= -7 in two-step equations-integers

Paha777 [63]

Answer:

n=3

Step-by-step explanation:

So the question we are to solve is to be solved by collecting like terms and by division

So let's solve the question

-5n+8=-7

So let's solve

-5n+8=-7

Substrate 8 from both sides

-5n=-15

So let's make n the subject of formula by dividing both sides by -5

n=3

Therefore the final answer for the given question is 3

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3 years ago

If you launch the cannonball from the ground instead (hi=0), what does that change in the original equation?

ikadub [295]

Answer:

the value of hi changes from 58 to 0:

h(t) = -4.9t^2 +19.8t

Step-by-step explanation:

If the initial height changes, then the term in the equation that represents that height will change. The initial height term is hi, so it changes from 58 to 0.

$h(t)=-4.9t^2+19.8t+0\\\\\boxed{h(t)=-4.9t^2+19.8t}$

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2 years ago

Line AB contains points A (0, 1) and B (1, 5). The slope of line AB is

Vaselesa [24]

D.

you do change in y divided by change in x

(5-1)/(1-0) = (4)/1=4

6 0

3 years ago

Read 2 more answers

If r= 9 units and x = 4 units, then what is the volume of the cylinder shown above?

Thepotemich [5.8K]

Answer:

Volume of the cylinder is. 1017.36

Step-by-step explanation:

$V=\pi r^2h$ is the area of a cylinder.

Let's plug in our values.

-----

3.14 = pi

9 = radius

x = height

-----

V = (3.14)(9)^2(4)

V = (3.14)(81)(4)

V = (3.14)(324)

V = 1017.36

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2 years ago

What is the sum of the first 10 terms in the geometric sequence -3 6 -12 24 -48

vlada-n [284]

Use the formula for the sum of a geometric sequence:
Sum = (a(r^n - 1))/(r - 1)
where a is the first term, -3
r is the common ratio, -2
and n is the number of terms

Thus,
Sum = ((-3)((-2)^10 - 1))/(-2-1) = 1023

3 0

3 years ago