All categories

3 years ago

Solve the system by substitution. y = 5x y = 9x + 8

Mathematics

2 answers:

Ymorist [56]3 years ago

8 0

Answer:

(-2,-10)

Step-by-step explanation:

So if y=5x and if y=9x+8 then those should be able to equal each other (substitution):

5x=9x+8

Subtract 5x from both sides:

0=4x+8

Subtract 8 from both sides:

-8=4x

Divide both sides by 4:

x=-2

If x=-2, then we can just plug it back into the first equation:

y=5(-2)

Simplify:

y=-10

bazaltina [42]3 years ago

6 0

Answer:

x = -2

y = -10

Step-by-step explanation:

So if y = 5x

Then you can put that in place of the y

5x = 9x + 8

Get the x's all on one side by subtracting

-4x = 8

Divide both sides by -4

x = -2

Then insert x into the first equation, so

y = 5(-2)

y = -10

You might be interested in

What is the LCM of 7 and 13

lutik1710 [3]

Answer:

91 .

Step-by-step explanation:

The least common multiple (LCM) of two or more non-zero whole numbers is the smallest whole number that is divisible by each of those numbers. In other words, the LCM is the smallest number that all of the numbers divide into evenly. Glad I could help!!

3 0

3 years ago

3/4 x 3 2/5 - 5/5(find the value of each of the following)

Triss [41]

The value of the given expression is $\frac{-13}{20}.$

Solution:

Given expression is $\frac{3}{4} \times3\frac{2}{5}-\frac{5}{5}$ .

Let us first convert mixed fraction into improper fraction.

$3\frac{2}{5}=\frac{(3\times5)+2}{5}=\frac{17}{5}$

Substitute this in the given expression.

$\frac{3}{4} \times3\frac{2}{5}-\frac{5}{5}=\frac{3}{4} \times\frac{7}{15}-\frac{5}{5}$

$=\frac{21}{60}-\frac{5}{5}$

To simplify the above expression, 21 and 60 are cancelled by 3.

$=\frac{7}{20}-\frac{1}{1}$

Do cross multiplication to make the denominator same.

$=\frac{7}{20}-\frac{20}{20}$

$=\frac{7-20}{20}$

$=\frac{-13}{20}$

The value of the given expression is $\frac{-13}{20}.$

7 0

3 years ago

surveyor stands 100 m from the base of a tower on which an antenna stands. He measures the angles of elevation to the top and bo

balu736 [363]

Answer: 36.3m

Step-by-step explanation:

To solve this, we can draw two triangle rectangles, where the distance between the man and the base of the tower is one of the cathetus, the adjacent one, the height will be the opposite cathetus.

The triangle where the elevation angle is 58° is associated with the height of the tower without the aerial

The other triangle, where the elevation angle is 63° is associated with the height of the tower with the aerial.

Then we can calculate those two heights, then compute the difference, and the difference will be equal to the height of the aerial.

In both cases we want to calculate the opposite cathetus, then we should use the relation:

Tan(θ) = (Op. cath)/(Adj. cath)

The height without the aerial is h1, let's find it:

Tan(58°) = h1/100m

Tan(58°)*100m = h1 = 160m.

The height with the aerial is h2, let's find it:

Tan(63°) = h2/100m

Tan(63°)*100m = h2 = 196.3m

Then the height of the aerial will be:

h2 - h1 = 196.3m - 160m = 36.3m

6 0

3 years ago

PLEASE HELP On the number line, graph the solution to the inequality -5(x+1) > 7x + 31? Can you tell me how to go about doing

elena-s [515]

Answer:

I don't know how to insert a number line, but you have to put on it x<-3. You have to plot it, then put a open circle at -3, and draw an arrow, pointing it farther into the negitive side of the number line.

Step-by-step explanation:

3 0

3 years ago

What is the value of x?<br> Enter your answer in the box.<br><br> X = ???

kupik [55]

Answer:

The value of x is 7

Step-by-step explanation:

3 0

3 years ago