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2 years ago

If y=3x and 2x−4y=3 , then x=

Mathematics

2 answers:

tatiyna2 years ago

3 0

Answer:

x = -3/10

Step-by-step explanation:

Solve for x by substituting y = 3x into the other equation:

2x - 4y = 3

2x - 4(3x) = 3

Simplify and solve for x:

2x - 12x = 3

-10x = 3

x = -3/10

So, x = -3/10

riadik2000 [5.3K]2 years ago

3 0

Answer:

$x=-\frac{3}{10}$

Step-by-step explanation:

2x - 4y = 3

y = 3x

2x - 4(y = 3x) = 3

2x - 4(3x = 3)

2x - 12x = 3

- 10x = 3

- 10x ÷ - 10 = 3 ÷ - 10

$x=-\frac{3}{10}$

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2 years ago

Triangle RST is shown. What is the y-coordinate of the final image of vertex T after the triangle is reflected over the x-axis f

gavmur [86]

Answer:

R¹(-7, -3) , S¹(-2, -1), T¹(-5, 4)

Step-by-step explanation:

Step(i):-

From the graph, the points are R(-4,5), S(1,3),T(-2,-2)

First, the points are reflected over the x-axis then transform in to

(x,y)→(x,-y)

R(-4,5)→R¹(-4,-5)

S(1,3)→S¹(1,-3)

T(-2,-2)→T¹(-2,2)

Step(ii):-

Next, The points are shifted to 3 units left then the transform

(x,y)→ (x -3 ,y)

R¹(-4,-5)→ R¹(-4-3, -5) → R¹(-7, -5)

S¹(1,-3) → S¹(1-3, -3) → S¹(-2, -3)

T¹(-2,2) → T¹(-2-3, 2)→ T¹(-5, 2)

Step(iii):-

Now again the points are shifted to '2' units up then transform to

(x,y) )→ (x ,y+2)

R¹(-7, -5+2) → R¹(-7, -3)

S¹(-2, -3+2) → S¹(-2, -1)

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4 0

3 years ago

an online seed supplier packages a seed mix that costs the company 20.70$ per pound the mix includes poppy seeds costing 24$ per

seraphim [82]

Answer:

The quantity of clover seeds in pounds to be added is 11.14

Step-by-step explanation:

Let

x -----> the quantity of poppy seeds in pounds

y -----> the quantity of clover seeds in pounds

we know that

$24(x)+13(y)=20.70(x+y)$ -----> equation A

$x=26\ pounds$ ----> equation B

substitute equation B in equation A and solve for y

$24(26)+13(y)=20.70(26+y)$

$624+13y=538.2+20,70y$

$20.70y-13y=624-538.2$

$7.7y=85.8$

$y=11.14\ pounds$

therefore

The quantity of clover seeds in pounds to be added is 11.14

8 0

3 years ago

Read 2 more answers