-3y+7x ≥ -3y-14
solving linear inequalities
To solve the inequality, we need to isolate the variable, x. First, we can simplify the expression by adding 3y to both sides:
-3y + 7x ≥ -3y - 14 + 3y
Simplifying the right side, we get:
-3y + 7x ≥ -14
Next, we can isolate x by subtracting 3y from both sides:
-3y + 7x - 3y ≥ -14 - 3y
Simplifying the left side, we get:
4x ≥ -14 - 3y
Finally, we can isolate x by dividing both sides by 4:
x ≥ (-14 - 3y) / 4
Therefore, the solution to the inequality is:
x ≥ (-14 - 3y) / 4
Note that the inequality sign remains the same because we did not multiply or divide by a negative number.
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