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Andrej [43]
3 years ago
11

Solve, using the substitution method.

Mathematics
1 answer:
galben [10]3 years ago
6 0
Y – 3x = 7
y -3x +3x = 7+3x
y = 7+3x

21 + 9x = 3y
21 + 9x = 3(7+3x)
21 + 9x = 21 + 9x

The answer is  B.There are an infinite number of solutions.



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Solve the equation<br> -2 + 2/3X = 10
Delicious77 [7]

Answer:

19.5

Step-by-step explanation:

add 2 to both sides...that makes 2/3X=12...then divide by 2/3 on both sides

6 0
4 years ago
Consider the line 2x-7y=-7. Find the equation of the line that is perpendicular to this line and passes through the point (-8,-6
monitta

Step-by-step explanation:

2x - 7y = -7

2x + 7 = 7y

y = (2/7)x + 1

the slope of the line is the factor of x : 2/7

FYI that is the ratio y/x and means, when x changes by 7 points to the plus (right) side, then y changes 2 points to the plus (up) side.

the parallel line will have the same slope, of course. just a different y-axis-interception point. that means, the "+" term at the end changes. changes to what ?

well, we use the given point coordinates

-6 = (2/7)×-8 + c

-6 = -16/7 + c

-42/7 = -16/7 + c

-26/7 = c

so, the equation of the parallel line is

y = (2/7)x - 26/7

y = (2/7)×(x - 13)

the perpendicular line is a line that intercepts our original line with a 90 degree angle.

that means its slope will switch x and y of the original line slope and also flips the sign (from + to - or vice versa).

=> the slope of the perpendicular line is -7/2.

the line equation looks like

y = (-7/2)x + c

and again, we use the given point coordinates to find the missing c (y-intercept).

-6 = (-7/2)×-8 + c

-6 = -7×-4 +c

-6 = 28 + c

-34 = c

so, the full equation of the perpendicular line is

y = (-7/2)x - 34

6 0
3 years ago
Factorise: 4ay-2y can’t seem to do this
qaws [65]
In order to factor, we must pull out factors common to each term. In this case, each term has factors of 2 and y:

4ay = 2 * 2 * a * y
2y   = 2 * y

So, we'll pull out the 2y:

2y(2a-1)

To check, distribute the 2y back through the terms in parentheses to ensure you end up with the original expression 4ay - 2y.
4 0
4 years ago
The trend line that Sylvie has drawn for her graph goes through the points (5, 0) and (4, 3). What is the equation of the line?
Andreas93 [3]

Answer:

y=-3x+15

Step-by-step explanation:

To find the equation of the line, you need to find the slope and y intercept. The slope is pretty easy, as the line goes down by 3 after going up by 1. This means that the slope is -3/1=-3. The y intercept is also pretty easy, as you know that the line will increase by 3 every time you go back 1 to the left. 3*4=12, meaning that going back 4 will take you up 12. 3+12=15, meaning that the equation of the line is y=-3x+15. Hope this helps!

3 0
4 years ago
Read 2 more answers
HELP ME PLEASE I NEED IT TODAY!! I WILL MARK YOU AS A BRAINLIEST!!! Answer it all please or some of it.!?
Mariana [72]

Answer:

Just to start you  off the first answer is 66.67

Step-by-step explanation:

You divide the first number by  the second number so in this case 800/12=66.67

4 0
3 years ago
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