Question

Solve graphically the system of linear equation X + 2 Y is equal to 3 and 4 x + 3 Y is equal to 2

Answer 1

Step-by-step explanation:

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Show graphically the system of...

Show graphically the system of linear equations <br> x + 2y = 3 and 4x + 3y = 2.

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Answer

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Text Solution

Solution

For equation, x + 2y = 3

implies 2y = 3 - x implies y=3−x2

xy=3−x2−33−1211

For equation, 4x + 3y = 2

⇒ 3y=2−4x ⇒ y=2−4x3

xy=2−4x3−46−122−2

Now plot the points A(-3, 3), B(-1, 2), C(1, 1) and P(-4, 6), Q(-1, 2), R(2, -2) on the same graph paper.

We observe that the two lines intersect at point (-1, 2). Hence, x=−1y=2} is the solution of the given system of equation.