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3 years ago

Solve the smetaneous equatan graphically x-2y=1 2x-y=2 given the range of x from-3 to 3 choose a suitable scale

Mathematics

2 answers:

DedPeter [7]3 years ago

8 0

Answer:

(2, 0)

Step-by-step explanation:

Given system:

x - 2y = 1
2x - y = 2

In order to solve it graphically, graph both lines and find the point of their intersection.

Graphing easy if you plot the x- and y- intercepts and connect them with a line.

See attached.

Both lines have same x-intercept, which is also the solution: (2, 0)

SVETLANKA909090 [29]3 years ago

4 0

x-2y=1--(1)
2x-y=2--(2)

Graph Attached

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Pls help me in this i really need help :( :)

Andrews [41]

Hello and Good Morning/Afternoon:

Let's take this problem step-by-step:

First off, let's write the line in point-slope form:

$\rm \hookrightarrow (y-y_0)=m(x-x_0)$

(x₀, y₀) any random point on the line
'm' is the value of the slope

Let's calculate the slope:

$\rm \hookrightarrow Slope = \frac{y_2-y_1}{x_2-x_1}$

(x₁, y₁): any random point on the line ⇒ (-2, -6)
(x₂,y₂): any random point on the line that is not (x₁, y₁) ⇒ (2, -3)

$\rm \hookrightarrow slope = \frac{-3--6}{2--2} =\frac{3}{4}$

Now that we found the slope, let's put it into the point-slope form

⇒ we need (x₀, y₀) ⇒ let's use (2,-3)

$(y-(-3))=\frac{3}{4} (x-2)\\y+3=\frac{3}{4} (x-2)$

The equation, however, could also be put into 'slope-intercept form'

⇒ gotten by isolating the 'y' variable to the left

$y = \frac{3}{4}x-\frac{9}{2}$

Answer: $y = \frac{3}{4}x-\frac{9}{2}$ or $y+3=\frac{3}{4} (x-2)$

*Either equations work, put the one that you are the most familiar with

Hope that helps!

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Step-by-step explanation:

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Solve the smetaneous equatan graphically x-2y=1 2x-y=2 given the range of x from-3 to 3 choose a suitable scale​

Solve the smetaneous equatan graphically x-2y=1 2x-y=2 given the range of x from-3 to 3 choose a suitable scale