All categories

3 years ago

PLEASE HELP!!! Solving equations with substitution! I don't really know how to solve it.

Mathematics

2 answers:

Kipish [7]3 years ago

8 0

Answer:

x = 1

y = 2

Step-by-step explanation:

y = 2x

-6x + 6y = 6

-6x + 6(2x) =6 Substitute the fist equation for the value of y

-6x + 12x = 6 Combine like terms

6x = 6 divide

x = 1

Then, substitute the value of x in the equation for y

y = 2x y = 2(1)

y = 2

babunello [35]3 years ago

6 0

<h2>Steps:</h2>

So with using the substitution method, to be able to do so you must have one of the equations isolated with one of the variables. In this case, we see that the first equation has the y variable isolated. Now with this, we are going to substitute y in the second equation for 2x since y = 2x:

$-6x+6(2x)=6$

From here, we can solve for x:

$-6x+6(2x)=6\\-6x+12x=6\\6x=6\\x=1$

Since we have the x-value, substitute x for 1 into either equation to solve for y as such:

$y=2*1\\y=2\\\\-6(1)+6y=6\\-6+6y=6\\6y=12\\y=2$

<h2>Answer:</h2>

In short:

x = 1
y = 2

You might be interested in

Liam Had 250. Then, he and his classmate buy present for their teacher, evenly splitting the P cost among the 24 of them. How mu

tamaranim1 [39]

If it was just the splitting It would be
Let L be the amount he has left
L= 250-( P/24 )

8 0

4 years ago

If z = (5 + 12i) ÷ (3 + 4i), then |z| = _____.<br><br> 5/13<br> 1(2/3)<br> 2(3/5)<br> 3

Marta_Voda [28]

$\dfrac{5+12i}{3+4i}=\dfrac{5+12i}{3+4i}\cdot\dfrac{3-4i}{3-4i}=\dfrac{15-20i+36i-49i^2}{3^2-(4i)^2}\\\\=\dfrac{15+16i+49}{9-16i^2}=\dfrac{64+16i}{9+16}=\dfrac{64+16i}{25}=2.56+0.64i$

$z=a+bi\\\\|z|=\sqrt{a^2+b^2}\\\\z=2.56+0.64i\to a=2.56;\ b=0.64\\\\|z|=\sqrt{2.56^2+0.64^2}=\sqrt{6.9632}=\sqrt{\dfrac{69632}{10000}}=\sqrt{\dfrac{4096\cdot17}{100}}\\\\=\dfrac{64\sqrt{17}}{100}=0.64\sqrt{17}\approx2.6=2\dfrac{3}{5}$

3 0

3 years ago

Read 2 more answers

5(12 + m) = 100 find m

Llana [10]

Answer:

Step-by-step explanation:

1. multiply 5 and 12 to get 60

2. multiply 5 and m to get 5m

3. the equation would be 60 + 5m = 100

4. next, subtract 60 on both sides

5. your equation so far is 5m = 40

6. then divide 5 on both sides

7. then you have your answer m = 8

3 0

4 years ago

Need help w this onee thankss!!

skad [1K]

Step-by-step explanation:

if you draw an imaginary perpendicular line across the figure from the vertex which joins the line of 2 cm with the line that is making an angle of X then you can see that this figure is made up of two figures that is a triangle and a rectangle.

now from the angle given i.e X.

perpendicular= 5 cm

base = 14 -2= 12 cm

hypotenuse= ?

we know that,

h² = p²+b²

= 5²+12²=169

h= √169

h= 13

again,

cos X = b/h

= 12/13

6 0

3 years ago

Write an equation of the parabola in vertex form that passes through (0, −24) and has vertex (−6, −12)

Elenna [48]

The general equation is y-k=a(x-h)² where (h,k) is the vertex.

So in this case we have y+12=a(x+6)².

Plug in x=0, y=-24: -12=36a, and a=-⅓. Therefore y+12=-⅓(x+6)².

4 0

3 years ago