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3 years ago

Solve the system of equations for -2x+2y=4

Mathematics

1 answer:

Greeley [361]3 years ago

8 0

You need another equation to be able to solve this

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Write the equation of the line that passes through

Gnom [1K]

Answer:

$y=\frac{\displaystyle 1}{\displaystyle 7}x+\frac{\displaystyle15}{\displaystyle 7}$

Step-by-step explanation:

Hi there!

Slope-intercept form: $y=mx+b$ where m is the slope and b is the y-intercept (the value of y when x is 0)

1) Determine the slope (m)

$m=\frac{\displaystyle y_2-y_1}{\displaystyle x_2-x_1}$ where two given points are $(x_1,y_1)$ and $(x_2,y_2)$

Plug in the given points (-1, 2) and (6, 3):

$m=\frac{\displaystyle 3-2}{\displaystyle 6-(-1)}\\\\m=\frac{\displaystyle 3-2}{\displaystyle 6+1}\\\\\m=\frac{\displaystyle 1}{\displaystyle 7}$

Therefore, the slope of the line is $\frac{\displaystyle 1}{\displaystyle 7}$ . Plug this into $y=mx+b$ :

$y=\frac{\displaystyle 1}{\displaystyle 7}x+b$

2) Determine the y-intercept (b)

$y=\frac{\displaystyle 1}{\displaystyle 7}x+b$

Plug in one of the given points and solve for b:

$2=\frac{\displaystyle 1}{\displaystyle 7}(-1)+b\\2=-\frac{\displaystyle 1}{\displaystyle 7}+b$

Add $\frac{\displaystyle 1}{\displaystyle 7}$ to both sides to isolate b:

$2+\frac{\displaystyle 1}{\displaystyle 7}=-\frac{\displaystyle 1}{\displaystyle 7}+b+\frac{\displaystyle 1}{\displaystyle 7}\\\\\frac{\displaystyle15}{\displaystyle 7} =b$

Therefore, the y-intercept of the line is $\frac{\displaystyle15}{\displaystyle 7}$ . Plug this back into $y=\frac{\displaystyle 1}{\displaystyle 7}x+b$ :

$y=\frac{\displaystyle 1}{\displaystyle 7}x+\frac{\displaystyle15}{\displaystyle 7}$

I hope this helps!

3 0

4 years ago

I dont get this problem, could you explain it to me? P/3 plus (-7) = 5don't get this problem, could you explain it to me? P/3 ➕

LekaFEV [45]

Answer:

Step-by-step explanation:

Okay so first you have to get rid of the -7

P/3 ➕ (-7) = 5. Add 7 to both sides because that the opposite of subtracting

p/3= 5+7=12

now, multiply by 3 because that is the opposite of dividing

p=12*3= 36

7 0

4 years ago

5 more than a number y is negative 2 write the word sentence in a equation.

artcher [175]

Answer:

5 + y = -2

Step-by-step explanation:

To get 5 more than a number, you need to add 5 to the number. Then "5 more than y" is "5+y" or "y+5".

In math, "is" means "is equal to."

5 more than a number y is negative 2 means ...

5+y = -2

5 0

4 years ago

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3 years ago