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marysya [2.9K]
2 years ago
11

Solve the system by graphing. 2x - 3y = 0 4x – 3y = 6

Mathematics
1 answer:
prohojiy [21]2 years ago
3 0

Answer:

Answer is below

Step-by-step explanation:

Solve2x−3y=0for x:

2x-3y=0\\2x-3y+3y=0+3y\\2x=3y\\\frac{2x}{2}=\frac{3y}{2}  \\x=\frac{3}{2}y \\

Substitute 3/2y for x in 4x−3y=6:

4x-3y=6\\4\frac{3}{2}y-3y=6\\ 3y=6\\\frac{3y}{3}=\frac{6}{3}\\  y=2

Substitute 2 in for y in x=3/2y:

x=\frac{3}{2}y\\x= \frac{3}{2}(2)\\ x=3\\

x=3 and y=2

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3 0
2 years ago
5x 2 +5x x 2 −1 ​ What is an equivalent expression in lowest terms?
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Step-by-step explanation:

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Start by writing out your starting expression

x

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+

3

x

+

7

Since you have to subtract two fractions, you need to find the commonon denominator first. To do that, multiply the second fraction by  

x

−

2

x

−

2

x

2

−

5

(

x

−

2

)

⋅

(

x

+

7

)

−

(

x

+

3

)

⋅

(

x

−

2

)

(

x

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2

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x

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7

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This will get you

x

2

−

5

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(

x

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3

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x

−

2

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(

x

−

2

)

(

x

+

7

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x

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−

x

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−

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(

x

−

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7

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=

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2

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5 0
2 years ago
If 3t-7=5t, then 6t =
Natalija [7]
The answer is:  " -21 " .
__________________________________________
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__________________________________________
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____________________________________________
    3t − 7 − 3t  =  5t − 3t ;

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-7/2 = 2t / 2 ;

-3.5 = t  ;  ↔  t = - 3.5 ;
____________________________________________
Now, solve for "6t" ;

  6 t = 6*(-3.5) = - 21 .   The answer is:  " -21 " .
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6 0
3 years ago
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