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Klio2033 [76]
2 years ago
7

5x - 4 = -3x + 12. Solve for x

Mathematics
1 answer:
leva [86]2 years ago
7 0

5x - 4 = -3x + 12.

move -3x to the other side

sign changes to +3x

5x+3x-4= -3x+3x+12

5x+3x-4= 12

move -4 to the other side

sign changes to +4

5x+3x-4+4= 12+4

8x= 16

divide by 8 for both sides

8x/8= 16/8

x= 2

Answer: x= 2

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Here is a system of equations. (y=x-6 y=-x-2 Graph the system. Then write its solution. Note that you can also answer "No soluti
sladkih [1.3K]

Answer:

Example system with no solution

We're asked to find the number of solutions to this system of equations:

\begin{aligned} y &= -3x+9\\\\ y &= -3x-7 \end{aligned}  

y

y

​  

 

=−3x+9

=−3x−7

​  

 

Without graphing these equations, we can observe that they both have a slope of -3−3minus, 3. This means that the lines must be parallel. And since the yyy-intercepts are different, we know the lines are not on top of each other.

There is no solution to this system of equations.

Example system with infinite solutions

We're asked to find the number of solutions to this system of equations:

\begin{aligned} -6x+4y &= 2\\\\ 3x-2y &= -1 \end{aligned}  

−6x+4y

3x−2y

​  

 

=2

=−1

​  

 

Interestingly, if we multiply the second equation by -2−2minus, 2, we get the first equation:

\begin{aligned} 3x-2y &= -1\\\\ \blueD{-2}(3x-2y)&=\blueD{-2}(-1)\\\\ -6x+4y &= 2 \end{aligned}  

3x−2y

−2(3x−2y)

−6x+4y

​  

 

=−1

=−2(−1)

=2

​  

 

In other words, the equations are equivalent and share the same graph. Any solution that works for one equation will also work for the other equation, so there are infinite solutions to the system.

Step-by-step explanation:

7 0
3 years ago
Find the measure of Angle A. (include and explanation so I could do the rest on my own, preferably :)
castortr0y [4]

Answer:

13) Angle A is 30°

14) Angle A is 45°

15) Angle A is 40°

16) Angle A is 40.5°

Step-by-step explanation:

By the angle sum theorem for the interior angles of a triangle, we have;

13) 130° + 2·x + 3·x = 180°

∴ 2·x + 3·x = 180° - 130° = 50°

2·x + 3·x = 5·x = 50°

x = 50°/5 = 10°

∠A = 3·x = 3 × 10° = 30°

∠A = 30°

14) 3·x + 9 + 4·x + 9 + 78° = 180°

7·x + 18 + 78° = 180°

7·x = 180° - (18 + 78)° = 180° - 96° = 84°

x = 84°/7 = 12°

∠A = 3·x + 9 = 3 × 12° + 9 = 45°

∠A = 45°

15) 90° + x + 51 + x + 61 = 180°

∴ x + 51 + x + 61 = 180° - 90° = 90°

2·x + 112 = 90°

2·x = (90 - 112)° = -22°

x = -22°/2 = -11°

x = -11°

∠A = x + 51 = -11° + 51 = 40°

∠A = 40°

16) x + 79 + x + 49 + 70° = 180°

x + x  = (180 - 70 - 79 - 48)° = -17°

2·x = -17°

x = -17°/2 = -8.5°

x = -8.5°

∠A = x + 49 = (-8.5 + 49)° = 40.5°

∠A = 40.5°.

3 0
3 years ago
Find the value of X <br> ASAP
Taya2010 [7]
X= 103
180 - 65 = 115
X + 12 = 115
X = 115 - 12 = 103
6 0
2 years ago
Hi i am having trouble with this question can some one help me on it i heard this app really helps you understand question i mig
Evgen [1.6K]

Answer:

n = -1

Step-by-step explanation:

Guess your question is to find n

Given:

-6 + 3n = -9

-6 + 3n = -9

Add 6 to both sides

-6 + 6 + 3n = -9 + 6

3n = -3

Divide both sides by 3

n = -3 / 3

= -1

n = -1

Check:

-6 + 3n = -9

-6 + 3(-1) = -9

-6 - 3 = -9

- 9 = - 9

6 0
2 years ago
Write an expression that represents the difference of 32 and N multiplied by 10
NISA [10]
(32-n)10________________
8 0
3 years ago
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