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Bond [772]
3 years ago
13

Part A: Solve the equation 7x + 3x − 18 = 6(x + 3), and show your work. (5 points)

Mathematics
2 answers:
Levart [38]3 years ago
7 0

Answer:

9

Step-by-step explanation:

7x +3x - 18 =6(x +3)

10x - 18 =6x +18

10x - 6x =18 +18

4x =36

x=36 :4

x=9

const2013 [10]3 years ago
7 0

Answer:

7x \:  + 3x \:  - 18 = 6(x + 3) \\ 10x - 18 = 6x  + 18 \\ 10x - 18 + 18 = 6x + 18 + 18 \\ 10x = 6x + 36 \\ 10x - 6x \:  = 6x - 6x + 36 \\ 4x = 36 \\ we \: divide \: both \: sides \: by \: 4 \\ 4x \div 4 = 36 \div 4 \\ x = 9

hope that will help you

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Answer:

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3 years ago
Hallar la ecuación de la recta que pasa por el punto P(-3,-1) y por el punto de intersección de las rectas 2x − y = 9 y 3x − 7y
adell [148]

Answer:

y = -1

Step-by-step explanation:

The standard form of equation of a line is y = mx+b

m is the slope

b is the y intercept

Get the coordinate of the point of interception of the line 2x - y = 9 and 3x - 7y = 19

Make y the subject of the formula in both expressions

For 2x  - y = 9

- y = 9- 2x

y = 2x - 9

Similarly for 3x - 7y = 19

-7y = 19 - 3x

7y = 3x - 19

y = 3/7 x - 19/7

Equating both expressions

2x - 9 = 3/7 x - 19/7

Multiply through ny 7

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14x - 3x = -19 + 63

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x = 44/11

x = 4

Since y =2x - 9

y = 2(4) - 9

y = 8-9

y = -1

Hence the coordinate of intersection is at (4, -1)

Get the equation of the line passing through (-3, -1) and (4, -1)

Slope m = -1+1/4+3

m = 0/7

m = 0

Get the intercept

Substitute m = 0 and (-3, -1) into y = mx+b

-1 = 0(-3) + b

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y = 0x + (-1)

y = -1

Hence the required equation is y = -1

4 0
2 years ago
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Answer:

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Step-by-step explanation:

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2 years ago
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