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marysya [2.9K]
3 years ago
6

3x + 2y = -9 4x - 2y = -26 please help I have to solve this with the elimination method

Mathematics
1 answer:
Paladinen [302]3 years ago
8 0

Answer:

x = - 5, y = 3

Step-by-step explanation:

Given the 2 equations

3x + 2y = - 9 → (1)

4x - 2y = - 26 → (2)

Adding (1) and (2) term by term eliminates the y- term, that is

7x = - 35 ( divide both sides by 7 )

x = - 5

Substitute x = - 5 into either of the 2 equations and solve for y

Substituting into (1)

3(- 5) + 2y = - 9

- 15 + 2y = - 9 ( add 15 to both sides )

2y = 6 ( divide both sides by 2 )

y = 3

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Find all points on the x-axis that are 14 units from the point (4, -7).
BaLLatris [955]

Answer:

The points are: (16.12,0),(-8.12,0).

Step-by-step explanation:

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

ax^{2} + bx + c, a\neq0.

This polynomial has roots x_{1}, x_{2} such that ax^{2} + bx + c = a(x - x_{1})*(x - x_{2}), given by the following formulas:

x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}

x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}

\bigtriangleup = b^{2} - 4ac

Distance between two points:

Suppose we have two points, (x_1,y_1) and (x_2,y_2). The distance between them is given by:

D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Find all points on the x-axis that are 14 units from the point (4, -7).

Being on the x-axis mean that they have y-coordinate equal to 0, so the point is (x,0).

The distance is 14. So

\sqrt{(x-4)^2+(0-(-7))^2} = 14

\sqrt{x^2 - 8x + 16 + 49} = 14

\sqrt{x^2 - 8x + 65} = 14

(\sqrt{x^2 - 8x + 65})^2 = 14^2

x^2 - 8x + 65 - 196 = 0

x^2 - 8x - 131 = 0

So a = 1, b = -8, c = -131

\bigtriangleup = (-8)^{2} - 4(1)(-131) = 588

x_{1} = \frac{-(-8) + \sqrt{588}}{2} = 16.12

x_{1} = \frac{-(-8) - \sqrt{588}}{2} = -8.12

The points are: (16.12,0),(-8.12,0).

4 0
3 years ago
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kogti [31]

Answer:

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Step-by-step explanation:

3/4(z+ 2/5)+2z

Distribute the 3/4

3/4z + 3/4*2/5 +2z

3/4z + 6/20 +2z

3/4z +3/10 +2z

Combine like terms

2 3/4z +3/10

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soldier1979 [14.2K]

Answer:

y = -2x + 4

Step-by-step explanation:

slope intercept form: y = mx + b

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Subtract 2x on both sides.

y = -2x + 4

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Answer:

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