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3 years ago

X+2y=10 X+y=6 Using eliminations to solve each system

Mathematics

2 answers:

Svetllana [295]3 years ago

7 0

Answer:

x= 2

y=4

Just subtract by like numbers.

shusha [124]3 years ago

4 0

x + 2y = 10

x + y = 6

Both x's in the equation are equal. We want the x of the last equation to be negative so we can eliminate.

x + 2y = 10

-x - y = -6

Subtract.

y = 4

Now that we figured out y, we have to figure out x. Substitute y into one on the equations.

x + 4 = 6

x = 2

Now we figured out x. The answer is (2,4). I hope this helps! Let me know if I got anything wrong or if you need any more help with this problem.

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4 years ago

Some jeans at Macy's normally cost $80. During a sale Alexia buys them for $14 off. What percent will she save?

viva [34]

Answer:

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80 - 14 = 66

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3 years ago

What is the length of the second base of a trapezoid if the length of one base is 24 and the length of the mid segment is 19

rodikova [14]

The sum of the two bases is twice the length of the mid segment
24+x=19*2
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6 0

3 years ago

Find the slope(m) and y-intercept (b) of each representation below.

Anika [276]

<h3>Answer:</h3>

m= 15

b= 45

y= 15x +45

<h3>Concept:</h3>

<u>Overall equation</u>

The equation of a line in slope-intercept form is given by y= mx +b, where m is the slope and b is the y-intercept.

<u>Slope, m</u>

The slope is the measure of how steep the line is. It also defines how the y-axis changes with respect to the x-axis. The formula for finding slope is as shown below.

$\boxed{\text{Slope}=\frac{y_1-y_2}{x_1-x_2} }$

where $(x_1,y_1)$ is the first coordinate and $(x_2,y_2)$ is the second coordinate

<u>y-intercept, b</u>

This is the y-value in which the line cuts through the y-axis (vertical axis).

<h3>Working:</h3>

<u>Slope, m</u>

Let's identify two pairs of coordinates on the line.

2 square units on the y-axis represent $30. Thus, 1 unit on the y-axis represents $15.

The 2 points are: (0, 45) and (5, 120)

Substitute the 2 points into the slope formula:

Slope

= $\frac{120-45}{5-0}$

<em>= </em> $\frac{75}{5}$

= 15

Thus, m= 15.

<u>y-intercept, b</u>

From the graph, the line cuts through the y-axis at y= 45.

Thus, b= 45.

<u>Overall equation</u>

Substitute m= 15 & b= 45 into y= mx +b:

∴ The equation of the line is y= 15x +45.

<h3>Additional:</h3>

To learn more about slope-intercept form, do check out: brainly.com/question/26351470

6 0

1 year ago

Pls help me with this multiple choice ! (Actually try).

navik [9.2K]

Answer:

Step-by-step explanation:

$\sin(30) = \frac{y}{68} \\ y = 34 \\ \cos( 30) = \frac{ x }{68} \\ x = 34 \sqrt{3}$

5 0

3 years ago