All categories

3 years ago

Which is the best first step and explanation for solving this system of equations?

Mathematics

1 answer:

Volgvan3 years ago

7 0

Answer:

x=-4/9, y=10/3. (-4/9, 10/3).

Step-by-step explanation:

3x+4y=12

3x=2y-8

--------------

2y-8+4y=12

6y-8=12

6y=12+8

6y=20

y=20/6

simplify,

y=10/3

3x=2(10/3)-8

3x=20/3-8

3x=20/3-24/3

3x=-4/3

x=(-4/3)/3

x=(-4/3)(1/3)=-4/9

x=-4/9, y=10/3. (-4/9, 10/3).

You might be interested in

A Rectangular has area 12a^2 and perimeter 14a what are the dimensions of this Rectangular?

Nataliya [291]

9514 1404 393

Answer:

3a by 4a

Step-by-step explanation:

For dimensions L and W, the area and perimeter are ...

A = LW = 12a^2

P = 2(L+W) = 14a

Using the second equation, we can find L:

L +W = 7a . . . . . divide by 2

L = 7a -W

Substituting into the area formula gives the quadratic ...

(7a -W)(W) = 12a^2

W^2 -7aW +12a^2 = 0 . . . . arrange in standard form

(W -3a)(W -4a) = 0 . . . . . . . factor (find factors of 12 that total 7)

Then we have the two solutions ...

W = 3a, L = 4a

W = 4a, L = 3a

The rectangle dimensions are 3a by 4a.

5 0

3 years ago

Martha has 3 cards but she wants more.if she makes 5 cards an hour, how many cards will she have after 6 hours?

Genrish500 [490]

Answer:

5x6=30

30+3=33

i think that's the answer

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

What is the gradient of a line with an equation of 3x-2y-6=0

Genrish500 [490]

Answer:

Slope m = 3/2

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Algebra I

Slope-Intercept Form: y = mx + b

m - slope
b - y-intercept

Step-by-step explanation:

Step 1: Define Equation

3x - 2y - 6 = 0

Step 2: Rewrite

Find slope-intercept form

Subtract 3x on both sides: -2y - 6 = -3x
Add 6 on both sides: -2y = -3x + 6
Divide -2 on both sides: y = 3/2x - 3

Step 3: Break Function

Identify Parts.

Slope m = 3/2

y-intercept b = -3

6 0

3 years ago

Write an equation of the line that passes through the point (5, -8) with slope 5

Oxana [17]

$\Large\texttt{Answer}$

$equation=$ $\bold{y=5x-33}$

$\overline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}$

$\Large\texttt{Process}$

⇨ Use the formula below

$\bf{y-\hfill\stackrel{y \:co-ordinate}{y1}=\hfill\stackrel{slope}{m}(x-\hfill\stackrel{x\:co-ordinate}{x1)}}$

⇨ Substitute the parameters:

$\bold{y-(-8)=5(x-5)}$

$\bold{y+8=5x-25}$

$\bold{y=5x-33}$

Hope that helped

4 0

2 years ago

Given the system of equations presented here:

Nata [24]

2x + 4y = 14
4x + y = 20......multiply by -4
----------------
2x + 4y = 14
-16x - 4y = -80 (result of multiplying by -4)
---------------add
-14x = -66....as u can see, ur y's cancel out

so ur answer is : 1st answer choice <==

** and just so u know, u could have multiplied the 1st equation by -2, and it would have cancelled out ur x's

6 0

3 years ago