3. Which equation is equivalent to [tex]x + 3y- z = 3[/tex]
Now multiply both the sides by 4 we get
[tex]4*(x + 3y- z = 3)\\\\\Rightarrow4*(x+3y-z)=4*3\\\\\Rightarrow4x+12y-4z=12\\\\\ \text{Hence the equivalent equation is } 4x+12y-4z=12\\[/tex]
4.
We need to find the point which satisfies the given equation
[tex]3x-2y + 4z =-12\\\\\text{Substitute the point (2,-2,3) we get}\\\\3*2-2(-2)+4(3)=6+4+12=22\not\equiv -12\\\\\text{Hence this point does not satisfy}\\\\\text{Now check with the point (4,16,2)}\\\\3*4-2*16+4*2=12-32+8=12=True\\\ \text{Hence the required point is} (4,16,2)\\[/tex]
8x − 8 = 4x + 12
Add 8 to both sides:
8x = 4x + 20
Subtract 4x from both sides:
4x = 20
Divide both sides by 4:
x = 20/4
x = 5
x=12
Step-by-step explanation:
Please mark brainliest!
3. Which equation is equivalent to [tex]x + 3y- z = 3[/tex]
Now multiply both the sides by 4 we get
[tex]4*(x + 3y- z = 3)\\\\\Rightarrow4*(x+3y-z)=4*3\\\\\Rightarrow4x+12y-4z=12\\\\\ \text{Hence the equivalent equation is } 4x+12y-4z=12\\[/tex]
4.
We need to find the point which satisfies the given equation
[tex]3x-2y + 4z =-12\\\\\text{Substitute the point (2,-2,3) we get}\\\\3*2-2(-2)+4(3)=6+4+12=22\not\equiv -12\\\\\text{Hence this point does not satisfy}\\\\\text{Now check with the point (4,16,2)}\\\\3*4-2*16+4*2=12-32+8=12=True\\\ \text{Hence the required point is} (4,16,2)\\[/tex]
the first one,the third one and the last.
[tex]Choose all the equations with no solution * 10 points 4x + 8 = 4x + 12 12x + 8 = 10 3x - 4 = 3x + 7[/tex]
[tex]Choose all the equations with no solution * 10 points 4x + 8 = 4x + 12 12x + 8 = 10 3x - 4 = 3x + 7[/tex]
8 - 4x > -12
-4x > -12 - 8
-4x > -20
x < -20/-4
x < 5
[tex]8 - 4x \ \textgreater \ -12 \\ \\ -4x \ \textgreater \ -12 - 8 \\ \\ -4x \ \textgreater \ -20 \\ \\ x \ \textless \ -\frac{20}{4} \\ \\ x \ \textless \ \frac{20}{4} \\ \\ x \ \textless \ 5 \\ \\[/tex]
The final result is: x < 5.
x ≥ 1
Step-by-step explanation:
8 + 4x ≥ 12
Subtract 8 from each side
8-8 + 4x ≥ 12-8
4x ≥ 4
Divide by 4
4x/4 ≥ 4/4
x ≥ 1
Step-by-step explanation:
8x-8=4x+12
8x-4x=12+4
4x=16
x=16/4
x=4
x < 5
Step-by-step explanation:
8-4x>-12
One solution was found :
x < 5
Rearrange:
Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :
8-4*x-(-12)>0
Step by step solution :
Step 1 :
Pulling out like terms :
1.1 Pull out like factors :
20 - 4x = -4 • (x - 5)
Equation at the end of step 1 :
Step 2 :
2.1 Divide both sides by -4
Remember to flip the inequality sign:
Solve Basic Inequality :
2.2 Add 5 to both sides
x < 5
Inequality Plot :
2.3 Inequality plot for
-4.000 X + 20.000 < 0
[tex]8 - 4x \ \textgreater \ -12 \\ \\ -4x \ \textgreater \ -12 - 8 \\ \\ -4x \ \textgreater \ -20 \\ \\ x \ \textless \ -\frac{20}{4} \\ \\ x \ \textless \ \frac{20}{4} \\ \\ x \ \textless \ 5 \\ \\[/tex]
The final result is: x < 5.