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Citrus2011 [14]
3 years ago
14

Solve the system by the elimination method.

Mathematics
2 answers:
Vika [28.1K]3 years ago
7 0
10x + 2y - 6 = 0

Multiply 5x + y - 3 = 0 by 2

2(5x + y - 3 = 0) = 10x + 2y - 6 = 0
attashe74 [19]3 years ago
5 0

Answer: The resulting equation are,

3x - 2y - 7 = 0

10x + 2y - 6 = 0

Step-by-step explanation:

Since, for solving a system of equations by the elimination method we either add or subtract the equations to get an equation in one variable.

For this we find out the L.C.M. of the coefficients of that variable which we want to eliminate.

Here, the given equations are,

3x - 2y - 7 = 0  -----(1)

5x + y - 3 = 0 -----(2)

For eliminating y,

The coefficient of y in equation (1) = 2,

And, the coefficient of y in equation (2) = 1

L.C.M. (2, 1) = 2,

Thus, we make 2 as the coefficient of y in both equations,

For this we multiply equation (2) by 2 and equation (1) by 1,

Resultant equations are,

3x - 2y - 7 = 0

10x + 2y - 6 = 0

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Travka [436]
<h3>Answer:  Choice D</h3>

4x - 3y = 15

====================================================

Explanation:

The two points (-1,-1) and (2,3) are marked on the line

Let's find the slope of the line through those two points.

(x_1,y_1) = (-1,-1) \text{ and } (x_2,y_2)  = (2,3)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{3 - (-1)}{2 - (-1)}\\\\m = \frac{3 + 1}{2 + 1}\\\\m = \frac{4}{3}\\\\

The slope is 4/3 meaning we go up 4 and to the right 3.

-------------

Parallel lines have equal slopes, but different y intercepts. We'll need to see which of the four answer choices have a slope of 4/3.

Solve the equation in choice A for y. The goal is to get it into y = mx+b form so we can determine the slope m.

3x + 4y = -4\\\\4y = -3x-4\\\\y = -\frac{3}{4}x-\frac{4}{4}\\\\y = -\frac{3}{4}x-1

Equation A has a slope of -3/4 and not 4/3 like we want.

Therefore, this answer choice is crossed off the list.

Follow similar steps for choices B through D. I'll show the slopes of each so you can check your work.

  • slope of equation B is 3/4
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We have a match with equation D. Therefore, the equation 4x-3y = 15 is parallel to the given line shown in the graph.

You can use graphing tools like Desmos or GeoGebra to confirm the answer.

4 0
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A right triangle is always 90 degrees.

Step-by-step explanation:

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Step-by-step explanation:

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