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densk [106]
3 years ago
8

Part 1: If we double each side of the second equation, 2x+y=8 we have 4x+2y=16. Explain why the same pair that is the solution t

o the system is also a solution to this new equation. If needed, you can support your explanation with hanger diagrams, or by inventing a situation that the equations represent.
Part 2: If we add the two equations in the original system, we have 6x+7y=32. Explain why the same (x, y) pair is also a solution to this equation
PLEASE ANSWER FAST
Mathematics
1 answer:
aleksley [76]3 years ago
8 0

Answer:

Step-by-step explanation:

its the same because when you simplify it the equation is the same

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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
Find the equation of the line through the point (-2,-2) that is perpendicular to the line y=2x-1
Lerok [7]

A line perpendicular to y = 2x - 1 must have the slope -1/2 (negative reciprocal of 2).


Thus, the eq'n of the new line is y+2 = (-1/2)(x+2).

5 0
3 years ago
The midpoint between points (-3, 8) and (3, -4) is (0, y). What is y?​
Sonbull [250]

The midpoint between points (-3, 8) and (3, -4) is (0, 2)

5 0
4 years ago
Are the ratios 3:6 and 6:3 equivalent? Why or why not?
Leno4ka [110]
Answer:
Yes!
Step-by-step explanation:
It is because your still getting the same number 3 because even though your multiplying and dividing it still works
3 0
3 years ago
Read 2 more answers
I need help on this question for math
Ganezh [65]

Answer:

y = -12

Step-by-step explanation:

any equation with only an x or y value present will either be a vertical or horizontal line. Because the y axis is vertical, a line that is present on y=-12 will sit on y=-12 forever, and therefore be a horizontal line

7 0
3 years ago
Read 2 more answers
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