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4 years ago

Solve by elimination method : x - y = 2 , x + y = 12.

1 answer:

4 0

Answer: (7,5) X=7 and Y=5

Explanation:

Add the two equations together to eliminate y from the system.

x-y=2 + x+y=12
= 2x = 14

Divide both sides by 2

x=7

Substitute the value found for x into one of the original equations to solve for y

(7)-y=2

Move all terms to one side to make it easier

-y=2-7

Subtract

y=5

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Find the slope between the two points given. Then, use the slope and one of the points to write the equation of the line in Slop

Anika [276]

Answer:

Equation: y=2x-1

Slope: 2

y-intercept: -1

Step-by-step explanation:

Hi there!

We are given the points (-1, -3) and (-2, -5). We need to find the slope, equation of the line, and the y intercept of the line

First, let's find the slope

The formula for the slope (m) calculated from two points is $\frac{y_2-y_1}{x_2-x_1}$ where ( $x_1$ , $y_1$ ) and ( $x_2$ , $y_2$ ) are points

We have everything we need for the formula, but let's label the values of the points to avoid any confusion

x1=-1

y1=-3

x2=-2

y2=-5

Now substitute into the formula (remember: the formula has SUBTRACTION):

m= $\frac{-5--3}{-2--1}$

simplify

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

add

m= $\frac{-2}{-1}$

divide

m=2

So the slope is 2

Now let's find the equation of the line

The question asks for it to be in slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept

We calculated the slope from earlier, so let's substitute that into the equation

y=2x+b

Now we need to find b

The equation will pass through both (-1, -3) and (-2, -5) so we can use either one of them to solve for b (doesn't matter which one)

Let's take (-1, -3) as an example

substitute -1 as x and -3 as y into the equation

-3=2(-1)+b

multiply

-3=-2+b

Add 2 to both sides

-1=b (the value of the y intercept!)

Substitute -1 as b into the equation

y=2x-1

We found everything needed for this problem

Hope this helps!

8 0

3 years ago

Maths 5x² - x(x + 4)

alexgriva [62]

5x^2-x(x+4)
5x^2-x^2-4x
4x^2-4x is your answer

4 0

3 years ago

Write an equation of the line that passes through (-1,2) with a slope of 4

Iteru [2.4K]

Step-by-step explanation:

Hey there!

Given;

The points is; (-1 , 2) and slope is 4.

Note: Use one-point formula.

$(y - y1) = m(x - x1)$

~ Put all values.

$(y - 2) = 4(x + 1)$

~ Simplify it.

$(y - 2) = 4x + 4$

$4x - y + 6 = 0$

Therefore, the required equation is; 4x-y+6=0.

<h3>Hope it helps...</h3>

6 0

3 years ago

Need your help ASAP please help

eduard

His average is 86 so it is below 90. to get his average i just added all of his grades up to get 517 and then I divided 517 by 6 because thats how many grades he has and I got 86.

On the Grade row in the table it would go 83, 94, 79, 90, 96, 75 in order

The Above/Below 90 row would go -7, 4, 11, 7, -6, -3 in order

Lamont needs to get a 99 on his next test to have an average of exactly 90.

I HOPE THIS HELPED! PLEASE RATE ME AND MAKE MY ANSWER MOST BRAINLIEST!!

5 0

3 years ago

How can you write 5+5+5 using a different math operation

Len [333]

Answer:

five plus five plus five

Step-by-step explanation:

This is in wording

3 0

3 years ago

Read 2 more answers