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FrozenT [24]
3 years ago
15

Solve the system.

Mathematics
2 answers:
scoray [572]3 years ago
3 0

System: 2x + y = -3, -2y = 6 + 4x

We can solve it through elimination

-2y = 6 + 4x, y = -3 - 2x --> multiply the second equation by 2 -->

-2y = 6 + 4x, 2y = -6 - 4x --> add these two equations together -->

0 = 0: All real solutions

Slope intercept form (y = mx + d):

2x + y = -3 <em>-->Subtract 2x--></em> y = -2x - 3

-2y = 6 + 4x --> Divide by -2 --> y = -3 - 2x --> y = -2x - 3

alexandr1967 [171]3 years ago
3 0

Answer: y= -2x+3

Y= -2x+-3

Step-by-step explanation:

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(½) (6x + 3) = 7 – (3x + 1)
erastovalidia [21]

\tt Step-by-step~explanation:

To solve for x, we have to remember to isolate the variable.

\tt Step~1:

For 1/2, we can make that 0.5, since their values are equivalent. Our equation:

\tt (0.5)(6x+3)=7-(3x+1)

Let's distribute the 0.5 first.

\tt 0.5*6x=3x\\0.5*3=1.5

\tt Step~2:

Now, let's simplify the right side of the equation. We have to distribute the negative to 3x and 1.

\tt -1*3x=-3x\\-1*1=-1

Then, we simplify the entire expression.

\tt 7-3x-1=-3x+6

\tt Step~3:

Our equation now:

\tt 3x+1.5=-3x+6

Let's add 3x to the right and 3x to the left to simplify the -3x on the right side of the equation.

\tt 3x(+3x)+1.5=-3x (3x)+6\\6x+1.5=6

\tt Step~4:

Let's do the same thing we did in Step 3 to 1.5. Subtract 1.5 on both sides of the equation.

\tt 6x+1.5(-1.5)=6(-1.5)\\6x=4.5

\tt Step~5:

Finally, we divide both sides by 6 to isolate x.

\tt \frac{6x}{6} =x\\\frac{4.5}{6}= 0.75~or~\frac{3}{4}

\large\boxed{\tt Our~final~answer:~x=0.75~(or~\frac{3}{4})}

8 0
3 years ago
Solve this equation for k.<br><br> 3 − 3k + 7k = 5b<br><br> Enter the correct answer in the box.
Sloan [31]

Answer:

k=5b/4−3/4

Step-by-step explanation:

3-3k+7k=5b

Isolate the variable by dividing each side by factors that don't contain the variable.

k=5b/4−3/4

-hope it helps

8 0
2 years ago
(6h+2)+(-7h-8) simplify?
lawyer [7]

Answer:

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Step-by-step explanation:

(6h + 2) + (-7h - 8) <== remove parenthesis

6h + 2 - 7h - 8 <== combine like terms

6h - 7h + 2 - 8

-h - 6

Hope this helps!

4 0
2 years ago
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