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Solution:
2/x + y/4 = 3/2
Let's solve for y.
2/ x + y/ 4 = 3/ 2
Step 1: Multiply both sides by 4x.
xy + 8 = 6x
Step 2: Add -8 to both sides.
xy + 8 + − 8 = 6x + −8
xy = 6x − 8
Step 3: Divide both sides by x.
xy/x = 6x - 8/x
Answer =====> y = 6x - 8/x
When Graph:
y = 6 - 8/x
x- Intercepts Points:
4/3, and 0
Equation====> 2:
Let's solve for x.
2/ x + y/ 4 = 3/ 2
Step 1: Multiply both sides by 4x.
xy + 8 = 6x
Step 2: Add -6x to both sides.
xy + 8 + − 6x = 6x + − 6x
xy − 6x + 8 = 0
Step 3: Add -8 to both sides.
xy − 6x + 8 + − 8 = 0 + −8
xy − 6x = −8
Step 4: Factor out variable x.
x(y − 6) = −8
Step 5: Divide both sides by y-6.
x( y - 6 )/y - 6 = -8/ y - 6
Answer ======> x = -8/y - 6
Hope that helps!!!! : )
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The slope-intercept form of a line:
m - slope
b - y-intercept
Convert 2x + 3y = -6 to the slope-intercet form:
<em>subtract 2x from both sides</em>
<em>divide both sides by 3</em>
Let and
We have
Therefore
We have the equation of a line:
Put the coordinates of the point (0, 0) to the equation:
Answer: