Answer:
Step-by-step explanation:
Start with the given equation: 40=5x+5−15y
Combine the constants on the right side: 40=5x−15y+5
Rearrange the terms: 40=5x−15y+5
Subtract 5 from both sides: 35=5x−15y
Add 15y to both sides: 35+15y=5x
Divide both sides by 5: 7+3y=x
Therefore, the correct answer is A) x = 5 - 3y.
Answer:
D) x = 40-3y
Step-by-step explanation:
Here's how to solve for x:
Isolate x:
We want to get x by itself on one side of the equation.
Combine constant terms on the right side: 5 + 5 = 10
The equation becomes: 40 = 5x - 15y + 10
Get rid of terms with y:
Since we're solving for x, we need to move the term with y to the other side of the equation.
Subtract -15y from both sides: 40 - (-15y) = 5x - 15y + 10 - (-15y)
This simplifies to: 40 + 15y = 5x + 10
Isolate x further:
We need to get rid of the coefficient of x (the number multiplying it).
In this case, the coefficient is 5.
Divide both sides by 5: (40 + 15y) / 5 = (5x + 10) / 5
This simplifies to: 8 + 3y = x + 2
Isolating x completely:
Finally, subtract 2 from both sides to get x by itself: 8 + 3y - 2 = x + 2 - 2
This simplifies to: x = 6 + 3y
Combining like terms, we get the final answer: x = 40 - 3y