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2 years ago

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Given system 2x-4=5 5x+4y=2 Solve for x and y and SHOW ALL OF YOUR WORK

1 answer:

Georgia [21]2 years ago

5 0

I'm solving your system by substitution.
2x-4=5, 5x+4y =2
Step# 1: solve for x
2x - 4+ 4= 5 + 4( add +4 to both sides)
2x = 9
x = 9/2
Step# 2: solve for y

5(9/2) + 4y = 2
4y + 45/2 = 2
4y 45
y = 45/4 = 11.25

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coldgirl [10]

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Luden [163]

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2 years ago

How do I solve 2x+3y=7, x-y=1

Fittoniya [83]

<span>2x+3y=7
x-y=1

</span>2x+3y=7
x=1+y

2*(1+y)+3y=7
x=1+y

2+2y+3y=7
x=1+y

5y=5 |(:5)
x=1+y

y=1
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CHECK:
2x+3y=7
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5 0

3 years ago

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What is the solution to 6x=30

Tasya [4]

Answer:

$\boxed{x=5}$

Step-by-step explanation:

Division property of equality- is dividing both sides of an equation by the same non-zero number it does not change the equation.

First you had to divide by six from both sides of an equation form.

$\frac{6x}{6}= \frac{30}{6}$

$30/6=5$

$30/5=6$

$5*6=30$

$6*5=30$

$x=5$

$5=x$

Final answer: $\boxed{x=5}$

Hope this helps!

And thank you for posting your question at here on brainly, and have a great day.

-Charlie

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2 years ago

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The endpoints of (MP)are M(2,1) and P(12,6). If point K partitions (MP) in a ratio of MK:KP = 3:2, what are the coordinates of K

GREYUIT [131]

Answer:

K(8, 4)

Step-by-step explanation:

Given:

M(2, 1), P(12, 6)

MK:KP = 3:2

Required:

Coordinates of K

SOLUTION:

Coordinates of K can be determined using the formula below:

$x = \frac{mx_2 + nx_1}{m + n}$

$y = \frac{my_2 + ny_1}{m + n}$

Where,

$M(2, 1) = (x_1, y_1)$

$P(12, 6) = (x_2, y_2)$

$m = 3, n = 2$

Plug in the necessary values to find the coordinates of K:

$x = \frac{mx_2 + nx_1}{m + n}$

$x = \frac{3(12) + 2(2)}{3 + 2}$

$x = \frac{36 + 4}{5}$

$x = \frac{40}{5}$

$x = 8$

$y = \frac{my_2 + ny_1}{m + n}$

$y = \frac{3(6) + 2(1)}{3 + 2}$

$y = \frac{18 + 2}{5}$

$y = \frac{20}{5}$

$y = 4$

The coordinates of K = (8, 4)

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2 years ago