−5x+4y=38 −x+2y=10 solve by elimination

Mathematics

1 answer:

tatyana61 [14]3 years ago

8 0

Answer:

(-6, 2)

Step-by-step explanation:

-5x + 4y - 38 = 0 (1) | -x +2y - 10 = 0 (2)

First i multiply the 2nd equation by -5, because i want the magnitude of the x coefficient to be the same but with opposite signs, because when i'll add the equations the x's are going to cancel.

(2) * (-5):

5x - 10y + 50 = 0 (2')

(1) + (2'):

-5x + 4y - 38 + 5x - 10y + 50 = 0

-6y + 12 = 0

y = 2

Use the second equation, before multiplying to find the x - solution.

-x + 2(2) - 10 = 0

-x + 4 - 10 = 0 | add 'x' to both sides

x = -6

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Three consecutive integers have a sum of 168. What is the value of the largest integer

Svet_ta [14]

Largest integer: 57

x + x + 1 + x + 2 = 168
3x + 3 = 168
-3 -3
3x = 165
/3 /3
x = 55

x = smallest integer = 55
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3. Try It #3 Write the point-slope form of an equation of a line with a slope of -2 that passes through the point (-2,2). Then r

vova2212 [387]

Answer:

Point-slope form of equation given as $y-2=-2(x+2)$ .

Slope-intercept form of equation is given as $y=-2 x-2$ .

Step-by-step explanation:

In the question, it is given that the slope of a line is -2 and it passes from (-2,2).

It is asked to write the point-slope form of the equation and rewrite it as slope-intercept form.

To do so, first find the values which are given in the question and put it in the formula of point-slope form. Simplify the equation to rewrite as slope-intercept form.

Step 1 of 2

Passing point of the line is (-2,2).

Hence, $x_{1}=-2$ and