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tamaranim1 [39]
3 years ago
12

What is the solution to the system of equations?

Mathematics
1 answer:
MariettaO [177]3 years ago
7 0

Answer:

x=-4 y=-1

Step-by-step explanation:

Let's solve your system by substitution.

−3x−8y=20;y=5x+19

Rewrite equations:

y=5x+19;−3x−8y=20

Step: Solve y=5x+19for y:

y=5x+19

Step: Substitute5x+19foryin−3x−8y=20:

−3x−8y=20

−3x−8(5x+19)=20

−43x−152=20(Simplify both sides of the equation)

−43x−152+152=20+152(Add 152 to both sides)

−43x=172

−43x

−43

=

172

−43

(Divide both sides by -43)

x=−4

Step: Substitute−4forxiny=5x+19:

y=5x+19

y=(5)(−4)+19

y=−1(Simplify both sides of the equation)

Answer:

x=−4 and y=−1

 

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aleksandrvk [35]

Answer:

  • Plan: separate the variable term from the constant term; divide by the coefficient of the variable.
  • Steps: add 4 to both sides; collect terms; divide both sides by 3.

Step-by-step explanation:

The first step is to look a the equation to see where the variable is in relation to the equal sign, and whether there are any constants on that same side of the equal sign.

Here, the variable terms are on the left, and there is a constant there, as well. The plan for solving the equation is to eliminate the constant that is on the same side of the equation as the variable, then divide by the coefficient of the variable. To find that coefficient, we need to collect terms. In summary, the plan is to ...

  • add 4 to both sides of the equation
  • collect terms
  • divide by the coefficient of the variable (3)

Executing that plan, the steps are ...

  -2x -4 +5x +4 = 8 +4 . . . . add 4

  3x = 12 . . . . . . . . . . . . . . . collect terms

  x = 4 . . . . . . . . . divide by 3

4 0
3 years ago
What’s #14&15 and I also need help in #2
gulaghasi [49]
#2= +$700 I couldn't see #14 and 15
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A buoy marks a channel for boat navigation and bobs up and down with the motion of the waves. In the given function, represents
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Answer:

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7 0
3 years ago
X+Y=4 ? I think math
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The answer for both is 2
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A circle has a circumference of 28.26cm. what is the area of the circle? show work please
earnstyle [38]
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-rounded to the nearest hundredth, the answer is 63.59


8 0
3 years ago
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