For drawing the graph of 3x - 2y = -1 , if y= 2 what is the value of x ? *
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The value of x is 1 when y = 2.
Given:
The equation of a line 3x - 2y = -1.
To Find:
The value of x if y = 2.
Solution:
We have been given the equation 3x - 2y = -1.
We know that the standard equation of a line is given by
ax + by + c = 0.
On comparing our given equation with the above equation, we obtain that 3x - 2y = -1 is the equation of a line. To plot the graph of this equation, we need to find out at least two sets of values of (x, y).
We are asked to find out the value of x when y = 2.
At y = 2, we have
3x - 2(2) = -1.
⇒ 3x - 4 = -1
⇒ 3x = 4 - 1 = 3
⇒ x = 3/3 = 1
∴ The value of x is 1 when y = 2.
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