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2 years ago

X + y = 4 3x + 4y= 14

Mathematics

2 answers:

Vaselesa [24]2 years ago

7 0

Y = 4 - x
3x + 4(4-x) = 14
3x + 16 -4x = 14
-x = -2
x = 2
y = 2

kupik [55]2 years ago

5 0

Answer:

$x = 2$

$y = 2$

Step-by-step explanation:

$x + y = 4 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: ...1\\ 3x + 4y= 14 \: \: \: \: \: \: \: \: \: \: \: ...2\\ \\$

from equation 1 we get

$x = 4 - y$

put x = 4 - y in equation 2

$3(4 - y) + 4y= 14 \\ 12 - 3y + 4y = 14 \\ y = 14 - 12 \\ y = 2$

again, put y = 2 in equation 1

$x + 2 = 4 \\ x = 4 - 2 \\ x = 2$

thus, x = 2 and y = 2

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Mrrafil [7]

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2 years ago

Maria and Nate graphed lines on a coordinate plane. Maria's line is represented by the equation y = -5/6x +8. Nate's line is per

eduard

Answer:

c) 6x - 5y = 15

Step-by-step explanation:

Slope-intercept form of a linear equation: $y=mx+b$

(where m is the slope and b is the y-intercept)

Maria's line: $y=-\dfrac{5}{6}x+8$

Therefore, the slope of Maria's line is $-\frac{5}{6}$

If two lines are perpendicular to each other, the product of their slopes will be -1.

Therefore, the slope of Nate's line (m) is:

$\begin{aligned}\implies m \times -\dfrac{5}{6} &=-1\\m & =\dfrac{6}{5}\end{aligned}$

Therefore, the linear equation of Nate's line is:

$y=\dfrac{6}{5}x+b\quad\textsf{(where b is some constant)}$

Rearranging this to standard form:

$\implies y=\dfrac{6}{5}x+b$

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$\implies 6x-5y=-5b$

Therefore, <u>option c</u> could be an equation for Nate's line.

3 0

2 years ago

Mr. Swanson has $350 to order music books for the new school year. Music books cost $10 each and come in packages of 5. Mr. Swan

Talja [164]

Answer:
$300

Explanation:
$10(cost of 1 book) x 5(how many comes in packages) = 50 ( total cost of 1 package)
Mr. Swanson ordered 6 so...
$50 x 6 = $300
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2 years ago

Pense un numero lo multiplique por 7 al resultado le sume 4 obtube 32

irina [24]

7x+4=32
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Creo que así se ase

5 0

2 years ago

4x + 5y = 3 2x + 3y = 1Solve by elimination

Lesechka [4]

Answer:

The solution to the system of equations is:

x = 2, and y = -1

Explanation:

Given the pair of equations:

4x + 5y = 3 ..........................................................................(1)

2x + 3y = 1............................................................................(2)

To solve this by elimination:

Multiply equation (2) by 2, to eliminate x

Equation (2) becomes

4x + 6y = 2 .........................................................................(3)

Subtract equation (1) from (3)

4x - 4x + 6y - 5y = 2 - 3

y = -1 ....................................................................................(4)

Multiply equation (1) by 3 and equation (2) by 5 to eliminate y

Equation (1) becomes

12x + 15y = 9 .......................................................................(5)

Equation (2) becomes

10x + 15y = 5 ........................................................................(6)

Subtract equation (6) from (5)

12x - 10x + 15y - 15y = 9 - 5

2x = 4

Divide both sides by 2

x = 4/2 = 2 ............................................................................(7)

From equations (7) and (4)

x = 2, and y = -1

7 0

1 year ago