3.Find the solutions of the form x=o and y=b for the following equations:2x+3y =6
Question
3.Find the solutions of the form x=o and y=b for the following equations:2x+3y =6
Solution
To find the solutions of the form x=0 and y=b for the equation 2x+3y=6, we can substitute x=0 into the equation and solve for y.
Step 1: Substitute x=0 into the equation 2(0) + 3y = 6 This simplifies to 3y = 6.
Step 2: Solve for y To solve for y, we divide both sides of the equation by 3. y = 6 / 3 y = 2
So, when x=0, y=2.
Similarly, to find the solutions of the form y=0 and x=a for the equation 2x+3y=6, we can substitute y=0 into the equation and solve for x.
Step 1: Substitute y=0 into the equation 2x + 3(0) = 6 This simplifies to 2x = 6.
Step 2: Solve for x To solve for x, we divide both sides of the equation by 2. x = 6 / 2 x = 3
So, when y=0, x=3.
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