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dalvyx [7]
3 years ago
8

What is the solution for x in the equation? 4x − 3 + 5 = 2x + 7 − 8x

Mathematics
2 answers:
ladessa [460]3 years ago
5 0

Answer:

4x+2= -6x+7

4x+6x=7-2

10x=5

x=1/2

Step-by-step explanation:

jeka943 years ago
5 0
The answer is x=.5 you can download and use Photomath to scan the question and that will tell you how to do its step by step
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2 years ago
Create a matrix for this system of linear equations, The determinant of the coefficient matrix is
marin [14]

Answer:  The determinant of the coefficient matrix is -15 and x = 3, y = 4, z = 1.

Step-by-step explanation:  The given system of linear equations is :

2x+y+3z=13~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\x+2y=11~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)\\\\3x+z=10~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(iii)

We are given to find the determinant of the coefficient matrix and to find the values of x, y and z.

The determinant of the co-efficient matrix is given by

D=\begin{vmatrix}2 & 1 & 3\\ 1 & 2 & 0\\ 3 & 0 & 1\end{vmatrix}=2(2-0)+1(0-1)+3(0-6)=4-1-18=-15.

Now, from equations (ii) and (iii), we have

x+2y=11~~~~~\Rightarrow y=\dfrac{11-x}{2}~~~~~~~~~~~~~~~~~~~~~~~~~~(iv)\\\\\\3x+z=10~~~~~~\Rightarrow z=10-3x~~~~~~~~~~~~~~~~~~~~~~~~~(v)

Substituting the value of y and z from equations (iv) and (v) in equation (i), we get

2x+y+3z=13\\\\\Rightarrow 2x+\dfrac{11-x}{2}+3(10-3x)=13\\\\\Rightarrow 4x+11-x+60-18x=26\\\\\Rightarrow -15x+71=26\\\\\Rightarrow -15x=26-71\\\\\Rightarrow -15x=-45\\\\\Rightarrow x=3.

From equations (iv) and (v), we get

y=\dfrac{11-3}{2}=4,\\\\z=10-3\times3=1.

Thus, the determinant of the coefficient matrix is -15 and x = 3, y = 4, z = 1.

3 0
3 years ago
Sila jogged 12 kilometers today and wants to know how far she traveled in feet. What error did Sila make while converting from k
elena-14-01-66 [18.8K]

Answer:

sila put a wrong number in her calculator when multiplying the numerators

Step-by-step explanation:

Sila jogged 12 kilometers today and wants to know how far she traveled in feet. what error did sila make while converting from kilometers to feet?

StartFraction 12 kilometers Over 1 EndFraction times StartFraction 0.62 miles Over 1 kilometer EndFraction times StartFraction 5280 feet Over 1 mile EndFraction = 392,832 feet

sila put a wrong number in her calculator when multiplying the numerators.

1 km sila's first fraction should be 0 62 mi 1 mi

sila's last fraction should be 5280 ft

sila forgot to divide by 0 62 asap

(12kilometers / 1 ) × (0.62 miles / 1 kilometer) × 5280 / 1 mile

12 kilometers = 39,370.079 feet

1 kilometer = 0.621 miles

sila put a wrong number in her calculator when multiplying the numerators

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