All categories

4 years ago

Solve each system by substitution.6) y = 2x - 3y=-8x + 17

Mathematics

2 answers:

BabaBlast [244]4 years ago

6 0

Answer: x = 2 and y = 1

Step-by-step explanation: What we have here is a pair of simultaneous equations and we have been instructed to solve by using the substitution method.

The equations are

y = 2x - 3 ------(1)

y = -8x + 17 ----(2)

The y variable has a coefficient of 1 in both equations so we can start with either of equation (1) or (2).

From equation (1) y = 2x - 3. Substitute for the value of y into equation (2)

2x - 3 = -8x + 17

By collecting like terms we now have

2x + 8x = 17 + 3

(Remember that when a negative value crosses to the other side of the equation it becomes positive and vice versa)

10x = 20

Divide both sides of the equation by 10

x = 2

Having calculated the value of x, we can now substitute for the value of x into equation (1)

y = 2x - 3

y = 2(2) - 3

y = 4 - 3

y = 1

Therefore, x = 2 and y = 1.

satela [25.4K]4 years ago

4 0

Answer:

x=2

Step-by-step explanation:

Since they are both equal to y set them equal to each other: 2x-3=-8x+17

Subtract 17 from both sides: 2x-20=-8x

Subtract 2x from both sides: -20=-10x

Divide both sides by -10: 2=x

You might be interested in

in a village in hawaii, about 80% of the residents are of hawaiian ancestry. Let n be the number of people you meet until you en

Julli [10]

Answer:

The formula for the probability distribution is:

P(X = n) = q^(n - 1)p

= [0.2^(n - 1)]0.8

Step-by-step explanation:

This is a geometric probability distribution.

The probability of success p = 80% = 0.8

The probability of failure is q = 1 - p = 0.2

The formula is:

P(X = n) = q^(n - 1)p

= [0.2^(n - 1)]0.8

6 0

4 years ago

The graph of f(x)=x2 is shown. Use the parabola tool to graph the function g(x)=(12x)2. To graph a parabola, first plot the vert

Talja [164]

Answer:

Pease check my assumptions.

Step-by-step explanation:

I will assume that f(x)=x2 is actually f(x) = x^2.

Same for g(x)=(12x)^2 [Is it g(x)=12x^2 ???]

See the attached image.

Note that (12x)^2 results in a narrower, steeper graph. That's because (12x)^2 can be rewritten as 144x^2, so every value is multiplied by 144, compared to just x^2.

7 0

2 years ago

In △ABC, m∠A=52°, c=11, and m∠B=19°. Find a to the nearest tenth.

Ugo [173]

From the problem we have

In △ABC, m∠A=52°, c=11, and m∠B=19°.

Draw the diagram with the help of given information, (see the attached image)

Now using Sine Law in the Triangle ABC, we can write

Now from Triangle ABC , we can write

$\frac{a}{sin52}=\frac{11}{sin109} \\$

Now simplify , we get

$\Rightarrow a=\frac{11}{sin109}*sin52\\ \\ \Rightarrow a=\frac{11}{0.9455}*0.7880\\ \\ \Rightarrow a=9.1676 \approx 9.2\\$

8 0

3 years ago

PLEASE ANSWER I NEED HELP

Naya [18.7K]

Answer:

The first one

y=1.3y+10

Step-by-step explanation:

Just test every solution,

7 0

3 years ago

I need help fast please

aleksandrvk [35]

Circumference of Circle A is is 42pi.

It is the same for all circles. To find the circumference, one must use the constant equation of 2pir. This equation stays the same, no matter what.

7 0

4 years ago

Solve each system by substitution.6) y = 2x - 3y=-8x + 17​

Solve each system by substitution.6) y = 2x - 3y=-8x + 17