(-6x+3)+(5x-4) If you in the 7th grade or up you can answer this question

Use properties to rewrite the given equation. Which equations have the same solution as 3/5x +2/3 + x = 1/2– 1/5x? Check all tha

vodomira [7]

we have

$\frac{3}{5}x+ \frac{2}{3}+x=\frac{1}{2}-\frac{1}{5}x$

Combine like terms in both sides

$(\frac{3}{5}x+ x)+\frac{2}{3}=\frac{1}{2}-\frac{1}{5}x$

we know that

$(\frac{3}{5}x+ x)=(\frac{3}{5}x+ \frac{5}{5}x)=\frac{8}{5}x$

substitute in the expression above

$\frac{8}{5}x+\frac{2}{3}=\frac{1}{2}-\frac{1}{5}x$ -----> equation A

Multiply equation A by $5*3*2=30$ both sides

$30*(\frac{8}{5}x+\frac{2}{3})=30*(\frac{1}{2}-\frac{1}{5}x)$

$48x+20=15-6x$ ---------> equation B

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$48x+6x=15-20$

$54x=-5$ ---------> equation C

Solve for x

$x=-\frac{5}{54} =-0.09$

We are going to proceed to verify each case to determine the solution.

Case a) $\frac{8}{5}x+\frac{2}{3}=\frac{1}{2}-\frac{1}{5}x$

the case a) is equal to the equation A

so

the case a) have the same solution that the given equation

Case b) $18x+20+30x=15-6x$

Combine like terms in left side

$(18x+30x)+20=15-6x$

$(48x)+20=15-6x$

the case b) is equal to the equation B

so

the case b) have the same solution that the given equation

Case c) $18x+20+x=15-6x$

Combine like terms in left side

$(18x+x)+20=15-6x$

$(19x)+20=15-6x$

$19x+6x=15-20\\25x=-5\\x=-0.20$

$-0.20\neq -0.09$

therefore

the case c) not have the same solution that the given equation

Case d) $24x+30x=-5$

Combine like terms in left side

$54x=-5$

the case d) is equal to the equation C

so

the case d) have the same solution that the given equation

Case e) $12x+30x=-5$

Combine like terms in left side

$42x=-5$

$x=-5/42=-0.12$

$-0.12\neq -0.09$

therefore

the case e) not have the same solution that the given equation

therefore

the answer is

case a) $\frac{8}{5}x+\frac{2}{3}=\frac{1}{2}-\frac{1}{5}x$

case b) $18x+20+30x=15-6x$

case d) $24x+30x=-5$

7 0

4 years ago

Read 2 more answers

Simplify this complex fraction.

soldier1979 [14.2K]

answer: 6 3/4

you divide 1/3 by 2 1/4

= 1/3 / 9/4

= 3/1 x 9/4

= 27/4

= 6 3/4

5 0

3 years ago

Shirley is decorating the gym for a party. She has 5 rolls of blue streamer and 9 rolls of green streamer. If each roll of blue

sp2606 [1]

Answer:

987 ft.

Step-by-step explanation:

We can solve this with an equation.

Since she has 5 rolls of 99 feet long blue streamer, then she has 5*99=495 feet of blue streamer

Since she has 9 rolls of 88 feet long blue green, then she has 9*88=792 feet of blue green

To find the total, we can add them up and get 495+792=987

8 0

2 years ago

Can someone please help me with decimal points as they are my weakness

kramer

For section 1.....Problem a is 7.2 Problem B is 7.6 Problem C is 18.8 Problem E is 32.5 Problem F is 28.8 Problem G is 10 Problem I is 61.5 Problem J is 170.8 Problem K is 81.6.
For Section 2 Problem A is 9.36 Problem B is 10.35 Problem C is 25.85 Problem E is 1.82 Problem F is 3.28 Problem G is 2.8 Problem I is 42.21 Problem J is 56.16 Problem K is 7.65

5 0

3 years ago

Read 2 more answers

What is the domain of the relation graphed below?

GrogVix [38]

<h2>Do u have a pic of the graph??</h2>

3 0

3 years ago