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kolbaska11 [484]
3 years ago
8

Examine the system of equations. Which is an equivalent form of the first equation that when added to the second equation elimin

ates the y terms? Negative StartFraction 5 Over 8 EndFraction x + three-fourths y = 12 8 x + 12 y = 11
Mathematics
1 answer:
seraphim [82]3 years ago
8 0

Answer:

10x - 12y = 192

Step-by-step explanation:

Given the equation :

-5/8x + 3/4y = 12 - - - (1)

8x + 12y = 11 ___(2)

The equivalent form of the first equation which can eliminate the y term :

Multiply (1) by - 16 :

-5/8x * - 16 + 3/4y * - 16 = 12 * - 16

10x - 12y = 192

Hence, Adding the obtained equation and equation(2) will eliminate.

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Which one of these is the correct answer?
sukhopar [10]

Answer:

the top answer.............

8 0
3 years ago
Express the following equation in slope-intercept form: 13x - 3y = 18 Select the best answer from the choices provided. A. y = 3
AveGali [126]

Answer:

The equation in the slope-intercept form is y =  \frac{13}{3}x + -6 ⇒ C

Step-by-step explanation:

The slope-intercept form of the linear equation is

y = m x + b, where

  • m is the slope of the line
  • b is the y-intercept

∵ The equation is 13x - 3y = 18

→ At first move x from the left side to the right side by subtracting 13x

  from both sides

∴ 13x - 13x - 3y = 18 - 13x

∴ - 3y = 18 - 13x

→ Make the coefficient of y equal 1 by dividing both sides by -3

∵ \frac{-3y}{-3}=\frac{18}{-3}-\frac{13x}{-3}

∴ y = -6 - (-\frac{13}{3}x)

→ Remember (-)(-) = (+)

∴ y = -6 + \frac{13}{3}x

→ Switch the two terms of the right side

∴ y =  \frac{13}{3}x + - 6

∴ The equation in the slope-intercept form is y =  \frac{13}{3}x + -6

7 0
3 years ago
The sum of two consecutive integers is 211. Find the integers.
Len [333]

Answer:

105 and 106

Step-by-step explanation:

x+(x+1)=211

2x+1=211

2x=210

x=105

7 0
3 years ago
Please answer this thanks
-BARSIC- [3]

Answer:

ED = 32.5

BE = 14.4

Step-by-step explanation:

Ab = 20

AC = AB + 5 = 20 + 5 = 25

AC / AB = 1.25

AB * 1.25 = AC

This means that:

AE * 1.25 = ED

CD / 1.25 = BE

AE * 1.25 = ED

26 * 1.25 = 32.5

CD / 1.25 = BE

18 / 1.25 = 14.4

4 0
3 years ago
Read 2 more answers
Question 6
Tema [17]

Answer:

Actual volume = 40 cm^3.

Step-by-step explanation:

15% = 0.15 as a decimal fraction.

Let the actual volume be x cm^3, then we have the equation:

x + 0.15x = 46

1.15x = 46

x   = 46 / 1.15  

    = 40 cm^3.

7 0
2 years ago
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