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mezya [45]
3 years ago
8

Solve the system of equations y = 2x + 3 and 4x - 2y = -6 using a graphical method.

Mathematics
1 answer:
emmasim [6.3K]3 years ago
7 0

Answer:

-1

Step-by-step explanation:

You are asked to solve this set by substitution. Note that the first equation defines

the value of y in terms of x. Therefore, you can use the right side of this equation

(2x + 3) as a substitution for y in the second equation. When you substitute 2x +3 for y

in the second equation, the result is:

.

2x + 3 = 4x + 7

.

Let's set the goal of getting all the terms that contain x isolated on the left side of

the equal sign and all the constants by themselves on the right side. Begin by getting rid

of the +3 on the left side by subtracting 3 from the left side. But if you subtract

3 from the left side you must also subtract 3 from the right side. These subtractions

result in the following sequence:

.

2x + 3 - 3 = 4x + 7 - 3

.

Combining numbers on the left side and on the right side simplifies the equation to:

.

2x = 4x + 4

.

Now, in a similar fashion, let's get rid of the 4x on the right side by subtracting

4x from the right side. When we do this subtraction, to keep the equation in balance

we must also subtract 4x from the left side. This results in:

.

 

2x - 4x = 4x - 4x + 4

.

On both sides of the equation combine terms containing x to get:

.

-2x = 4

.

Finally, solve for x by dividing both sides of the equation by -2 because -2 is the multiplier

of x. This results in:

.

x = 4/-2 = -2

.

So now that we know x = -2, we can return to either one of the original equations  

in the equation set and substitute -2 for x. Then we can solve for y. Let's return

to the first equation and substitute -2 for x. This begins with:

.

y = 2x + 3

.

Then substituting -2 for x gives:

.

y = 2*(-2) + 3 = -4 + 3 = -1

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Mekhanik [1.2K]
If i do all that, you need to give me more point bc this needs more points
3 0
3 years ago
Please help 25 points
algol13

Answer:

(-1,5)

(3, 1/125)

Step-by-step explanation:

g(x) = (1/5) ^x

Lets check the points

(1,0)

0 = (1/5) ^1

0 = 1/5  False this is not on the graph

(-1,5)

5 = (1/5) ^ -1

Remember negative exponents flip the fraction inside the parentheses

5 = 5/1  True  this is on the graph

(3, 1/125)

1/125 = (1/5)^ 3

1/125 = 1^3/ 5^3

1/125 = 1/125  true  this is on the graph

(-2,1/25)

1/25 = (1/5) ^-2

Remember negative exponents flip the fraction inside the parentheses

1/25 = 5^2/1^2

1/25 = 25  false this is not on the graph

4 0
3 years ago
Urgent help! 40 points!
AURORKA [14]
Short Answer: 150

Remark
You have to use two facts.
1. The central angle = 2 * the angle at B
2. The central angle = the arc angle.

Given
angle at B = 75 degrees.

Calculate the central angle
Central angle = 2 * angle at B
Central angle = 2 * 75
Central angle = 150

Conclusion
The arc angle = Central angle
The arc angle = 150 degrees.
4 0
3 years ago
Read 2 more answers
Is 16x2 + 24x + 9 a perfect square trinomial
fredd [130]
16x²=(4x)², 9=3², 24x=2*4x*3
so this is a perfect square: (4x+3)² 
5 0
3 years ago
One angle measures nine more than six times a number. A sequence of rigid motions maps the angle onto another angle that describ
prisoha [69]

Answer:

Step-by-step explanation: one angle is 6x + 9 also equals to 9x -30

9x - 30 = 6x + 9

3x = 39, x = 13

Angle is 6×13+9 = 87

3 0
3 years ago
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