Resuelve la siguiente operacion +1 + (-1)=

Solve the following system of equations<br>2x – 3y = 6<br>4x+2y=4

FinnZ [79.3K]

Answer:

$\boxed{(\frac{3}{2} ,-1)}$

Step-by-step explanation:

$\left \{ {{2x-3y=6} \atop {4x+2y=4}} \right.$

It seems this system of equations would be solved easier using the elimination method (the x and y values are lined up).

Multiply everything in the first equation by -2 (we want the 4x to be able to cancel out with a -4x).

$2x-3y=6 \rightarrow -4x+6y=-12$

Now line up the equations (they are already lined up - convenient) and add them from top to bottom.

$\left \{ {{-4x+6y=-12} \atop {4x+2y=4}} \right.$

The -4x and 4x are opposites, so they cancel out.

Adding 6y and 2y gives you 8y, and adding -12 and 4 gives you -8.

$8y=-8$

Divide both sides by 8.

$y=-1$

Since you have the y-value you can substitute this in to the second (or first equation, it doesn't necessarily matter) equation.

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

Simplify.

$4x -2=4$

Add 2 to both sides.

$4x=6$

Divide both sides by 4.

$x=\frac{6}{4} \rightarrow\frac{3}{2}$

The final answer is $x=\frac{3}{2} ,~y=-1$ .

$(\frac{3}{2} ,-1)$

5 0

3 years ago

Put the following equation of a line into slope intercept form reducing all fractions 2x-y=4

aliina [53]

Answer:

Step-by-step explanation:

The slope-intercept form:

$y=mx+b$

m - slope

b - y-intercept

We have the equation of a line in the standard form

$Ax+By=C$

Convert to the slope-intercept form:

$2x-y=4$ <em>subtract 2x from both sides</em>

$-y=-2x+4$ <em>change the signs</em>

$y=2x-4$

6 0

3 years ago

The figure shows the location of 3 points around a lake. The length of the lake, BC, is also shown. (Figure is not drawn to scal

snow_tiger [21]

Answer:

3rad5

Step-by-step explanation:

${a}^{2} + {b}^{2} = {c}^{2} \\ {a }^{2} + {6}^{2} = {9}^{2} \\ {a }^{2} + 36 = 81 \\ {a}^{2} + 81 - 36 \\ {a}^{2} = 45 \\ \sqrt{a} = \sqrt{45} \\ a = 3 \sqrt{5}$

7 0

3 years ago

Please help! question attached

Svetradugi [14.3K]

Answer:

36. y=x

37. x=4

38. y=3x-10

39. y=-25x+49

40. $y=-\dfrac{1}{18}x-\dfrac{89}{18}$

41. y=-x+3

Step-by-step explanation:

36. Parallel lines have the same slope. The slope of the line $y=x+42$ is $m=1,$ so the equation of a parallel line is

$y=x+b$

This line passes through the point (2,2), so its coordinates satisfy the equation:

$2=2+b\\ \\b=0$

and the equation of the line is $y=x$

37. The line $x=03$ is vertical ine, so parallel line is also vertical line with equation $x=a.$ Substitute the coordinates of the point (4,3):

$4=a$

hence the equation is $x=4$

38. Parallel lines have the same slope. The slope of the line $y=3x+24$ is $m=3,$ so the equation of a parallel line is

$y=3x+b$

This line passes through the point (2,-4), so its coordinates satisfy the equation:

$-4=3\cdot 2+b\\ \\b=-10$

and the equation of the line is $y=3x-10$

39. Parallel lines have the same slope. The slope of the line $y=-25x+35$ is $m=-25,$ so the equation of a parallel line is

$y=-25x+b$

This line passes through the point (2,-1), so its coordinates satisfy the equation:

$-1=-25\cdot 2+b\\ \\b=49$

and the equation of the line is $y=-25x+49$

40. Perpendicular lines have slopes satisfying $m_1\cdot m_2=-1$ Since the line $y=18x+26$ has the slope $m_1=18,$ perpendicular line has the slope $m_2 =-\dfrac{1}{18}.$

The equation is

$y=-\dfrac{1}{18}x+b$

This line passes through the point (1,-5), so its coordinates satisfy the equation:

$-5=-\dfrac{1}{18}\cdot 1+b\\ \\b=-5+\dfrac{1}{18}=-\dfrac{89}{18}$

and the equation of the line is $y=-\dfrac{1}{18}x-\dfrac{89}{18}$

41. Perpendicular lines have slopes satisfying $m_1\cdot m_2=-1$ Since the line $y=x+2$ has the slope $m_1=1,$ perpendicular line has the slope $m_2 =-1.$

The equation is

$y=-x+b$

This line passes through the point (4,-1), so its coordinates satisfy the equation:

$-1=-4+b\\ \\b=3$

and the equation of the line is $y=-x+3$

4 0

3 years ago

Solve and graph the inequality 6.7>-0.2x+4.5 look at picture to get the exact equation and answer choices!

Taya2010 [7]

Let's do it !

(6.7 ≥ -0.2x + 4.5)
↔ (6.7 - 4.5 ≥ -0.2x)
↔ (2.2 ≥ -0.2x)
↔ (2.2/-0.2 ≤ x)
↔ (-11 ≤ x)

In short, the answer would be : D. x ≥ -11.

Hope this helps !

Photon

4 0

3 years ago

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Resuelve la siguiente operacion +1 + (-1)=​

Resuelve la siguiente operacion +1 + (-1)=