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Vaselesa [24]
3 years ago
9

substitute the value of x back into the equation 3/4x+3-2x=-1/4+1/2x+5 to justify the solution what value of x is the solution ?

x=

Mathematics
2 answers:
vredina [299]3 years ago
8 0

Answer:

x = -1

Step-by-step explanation:

We can subtract the right side of the equation to get ...

\dfrac{3}{4}x+3-2x-\left(-\dfrac{1}{4}+\dfrac{1}{2}x+5\right)=0\\\\x\left(\dfrac{3}{4}-2-\dfrac{1}{2}\right)+\left(3+\dfrac{1}{4}-5\right)=0\quad\text{collect terms}\\\\-\dfrac{7}{4}x-\dfrac{7}{4}=0\quad\text{simplify}\\\\x+1=0\quad\text{multiply by $-\frac{4}{7}$}\\\\x=-1

Checking by subsitution, we have ...

... (3/4)(-1) +3 -2(-1) = -1/4 +(1/2)(-1) +5

... -3/4 +3 +2 = -1/4 -1/2 +5

... 4 1/4 = 4 1/4 . . . . . answer checks OK

miskamm [114]3 years ago
3 0

Answer:x=-1 or D

Step-by-step explanation: hope I can help!

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Answer:

y=x+2

Step-by-step explanation:

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5 0
3 years ago
Use interval notation to express the set of real numbers x that satisfies the inequality (x+2)(x-5) < 0.
azamat

The interval notation to express the set of real numbers <u>x</u> that satisfies the given inequality is -2<x<5. You also can represent it as (-2,5)

<h3>Inequality</h3>

It is an expression mathematical that represents a non-equal relationship between a number or another algebraic expression. Therefore, it is common the use following symbols: ≤ (less than or equal to), ≥ (greater than or equal to), < (less than), and > (greater than).

The solutions for inequalities can be given by: a graph in a number line or numbers.

For solving this exercise, it is necessary to find a number solution for the given inequality.

First, you should find the critical points of the inequality.

x+2=0

x = -2

and

x-5=0

x=5

Write, the intervals in between critical points. Therefore, -2<x<5.

Read more about inequalities here.

brainly.com/question/25275758

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8 0
2 years ago
Solve x2 - 8x - 9 = 0. Rewrite the equation so that it is of the form x2 + bx = c.
barxatty [35]

Answer:

x=9,-1  and x^2+(-8)x=9

Explanation:

we have been given with the quadratic equation x^2-8x-9

we compare the given quadratic equation with general quadratic equation

general quadratic is ax^2+bx+c=0

from given quadratic equation a=1,b= -8,c= -9

substituting these values in the formula for discriminant D=b^{2}-4ac

D=(-8)^2-4(1)(-9)=100

Now, to find the value of x

Formula is x=\frac{-b\pm\sqrt{D}}{2a}

Now, substituting the values we will get

x=\frac{-(-8)\pm\sqrt{100}} {2}= \frac{8\pm10}{2}=9,-1

And rewritting the given equation by  shifting 9 to right hand side of the given equation and taking minus inside the bracket so as to convert it in the form of

x^2+bx=c

4 0
3 years ago
Read 2 more answers
Is 5.2 greater than 60.3
yanalaym [24]
No, it is not. If you see closely, the number 5.2 is not 52. 60 is greater than 5.2.
4 0
3 years ago
Read 2 more answers
I need help with multistep equations<br>​
Over [174]

Answer:

1 2/3 = m

Step-by-step explanation:

2/3 = m+3/5 -8/5

Combine terms

2/3 = m-5/5

2/3 = m -1

Add 1 to each side

2/3 +1 = m-1+1

2/3 +3/3 = m

5/3 = m

1 2/3 = m

4 0
3 years ago
Read 2 more answers
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