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avanturin [10]
3 years ago
8

What is the solution to y=5x-7 -3x-2y=-12

Mathematics
2 answers:
poizon [28]3 years ago
7 0
Since <span>−3x</span><span> does not contain the </span>variable<span> to solve for, move it to the right-hand side of the </span>equation<span> by adding </span><span>3x</span><span> to both sides.
</span><span>y=5x−7</span> 
<span>−2y=3x−12

</span>Divide<span> each </span>term<span> in the </span>equation<span> by </span><span><span>−2</span>.
</span><span>y=5x−7</span> 
<span>y=−<span><span>3x/</span>2</span>+6

</span>Create a graph<span> to locate the </span>intersection<span> of the </span>equations<span>. The </span>intersection<span> of the </span><span>system of equations</span><span> is the </span>solution<span>.
</span>
<span>(2,3)
</span>

likoan [24]3 years ago
4 0
y=5x-7 \\&#10;-3x-2y=-12 \\ \\&#10;\hbox{substitute 5x-7 for y in the 2nd equation:} \\&#10;-3x-2(5x-7)=-12 \\&#10;-3x-10x+14=-12 \\&#10;-13x+14=-12 \ \ \ |-14 \\&#10;-13x=-26 \ \ \ |\div (-13) \\&#10;x=2 \\ \\&#10;y=5x-7=5 \times 2-7=10-7=3 \\ \\&#10;\boxed{(x,y)=(2,3)}
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sesenic [268]
Choice 1. f(5)=5-3 which equals 2
8 0
1 year ago
6 1/2 how many inches ​
sveticcg [70]

Answer:

78 inches

Step-by-step explanation:

12 TIMES 6 = 72

72+6=78

6 0
3 years ago
This is right or wrong, please anyone
BabaBlast [244]
Wrong,

You added when you were supposed to divide.

24/30 = 0.8


7 0
2 years ago
Read 2 more answers
Two students, Carlos and Sophie, factored the trinomial -4x2 − 10x + 6. Sophie factored it as -2(2x − 1)(x + 3) and Carlos facto
damaskus [11]

Sophie has factored the term completely while Carlos has not factored the term completely.

Step-by-step explanation:

We need to factor the trinomial:

-4x^2-10x + 6

Factoring:

-4x^2-10x + 6\\Taking\,\,-2\,\,common:\\-2(2x^2+5x-3)\\Now\,\,factoring:\\-2(2x^2+6x-x-3)\\-2(2x(x+3)-1(x+3))\\-2(2x-1)(x+3)

So, the factored form of -4x^2-10x + 6 is -2(2x-1)(x+3)

So, Sophie has factored the term completely. The terms are factored when we cannot further simplify it. Since Carlos factored (x+3)(-4x+2) 2 can be taken common from the term (-4x+2) so, it is not factored completely.

Keywords: Factoring the terms

Learn more about Factoring the terms at:

  • brainly.com/question/1464739
  • brainly.com/question/1464739
  • brainly.com/question/2568692

#learnwithBrainly

7 0
3 years ago
The diameter of a circle is 1.4 centimeters. Find its area. Use 3.14 Round to the nearest
NeTakaya

Answer:

Area = 1.54

Step-by-step explanation:

Area = πr^{2}

π = 3.14

diameter = 1.4

radius (half of diameter) = 0.7

Area = 3.14 x 0.7^{2}

Area = 3.14 x 0.49

Area = 1.5386

round to the nearest hundredth:

1.5386 = 1.54

8 0
2 years ago
Read 2 more answers
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