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seraphim [82]
3 years ago
5

Solve each system by graphing: 4x + 6y = -12 2x + 3y = 6

Mathematics
2 answers:
Helga [31]3 years ago
6 0

Answer: For the system given, there is no solution.

The slopes are the same for both equations, so the lines are parallel. With no intersection, there is no solution.

It may be easier to graph the system if you change the equations to slope intercept form  y = mx + b

That locates the y-intercept, <em><u>b</u></em> and you can use the slope, <em><u>m</u></em> to plot additional points to draw the lines.

The attachment shows the graph of this system of equations.

Step-by-step explanation:  Isolate y on the left

<u>First equation:</u>

4x + 6y = -12 Subtract 4x from both sides

6y = -4x -12   Divide both sides by 6

y = -4x/6 -12/6   Simplify

y = -2x/3 - 2   The y-intercept is -2, <u>the slope is -2/3</u>

<u>Second equation:</u>

2x + 3y = 6  Subtract 2x from both sides

3y = –2x + 6 . Divide both sides by 3

y = –2x/3 + 6/3  Simplify

y = –2x/3 +2   The y-intercept is -2, <u>the slope is -2/3  </u>

At this point we see that the slopes are the same, so the lines are parallel.

kodGreya [7K]3 years ago
3 0
4x + 6y = -12
2x + 3y = 6
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MariettaO [177]

<u>Given:</u>

The two equations are 2x-5y=-7 and 5x-3y=11

We need to solve the equations using elimination method.

<u>Elimination method:</u>

Let us multiply the equation 2x-5y=-7 by 5, we get;

10x-25y=-35 ---------(1)

Now, multiplying the equation 5x-3y=11 by -2, we get;

-10x+6y=-22 --------(2)

Adding equations (1) and (2), we have;

\ \ \ 10x-25y=-35\\-10x+\ \ 6y=-22\\---------\\-19y=-57

      y=3

Thus, the value of y is 3.

Substituting y=3 in the equation 2x-5y=-7, we have;

2x-5(3)=-7

  2x-15=-7

          2x=8

            x=4

Thus, the value of x is 4.

Hence, the solution of the system of equations is (4,3)

Therefore, Option A is the correct answer.

6 0
3 years ago
How to do ratio equivalents
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Equivalent Ratios. Students learn to find equal ratios by first writing the given ratio as a fraction, then multiplying the numerator and denominator of the fraction by the same number. For example, to find two ratios that are equal to 1:7, first write 1:7 as the fraction 1/7. I hope this helps
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3 years ago
WORTH 50 POINTS | Which is equivalent to 8/12 = x/9
kaheart [24]

\\ \sf\longmapsto \dfrac{8}{12}=\dfrac{x}{9}

\\ \sf\longmapsto 12x=8(9)

\\ \sf\longmapsto 12x=72

\\ \sf\longmapsto x=\dfrac{72}{12}

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8 0
3 years ago
Write the expresion in simplest form<br> (-11/2x+30)-2(-11/4x-5/2)
qwelly [4]

The simplified expression of (-11/2x+30)-2(-11/4x-5/2) is 35

<h3>How to simplify the expression?</h3>

The expression is given as:

(-11/2x+30)-2(-11/4x-5/2)

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-11/2x + 30 + 11/2x + 5

Collect the like terms

11/2x -11/2x + 30 + 5

Evaluate the like terms

35

Hence, the simplified expression of (-11/2x+30)-2(-11/4x-5/2) is 35

Read more about expressions at:

brainly.com/question/723406

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4 0
2 years ago
christian has a diecast metal car that is a scale model of an actual car. If the actual length of the car is 10 feet and 6 inche
Brilliant_brown [7]
So.... You would get your problem out of the numbers 10,6,7 you would  multiply and get 10*6*7=420  so 420 would be the answer if that's what your looking for!!
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