System:
y ≤ -x + 4
y >

x
Notes:
1. inequalities are expressed in slope-intercept form. y = mx + b
2. the second inequality uses the greater than inequality symbol rather than the greater or equal to symbol due to the broken line.
3. All points in the shaded region will satisfy both inequalities. Point outside the shaded region will not satisfy both inequalities.
-6x + 5 > -1
-6x > -1 - 5
-6x > -6
x < -6/-6
x < 1 <===
Answer:
The answer to your question is: x = -1
Step-by-step explanation:
Data
slope of l = x
slope of m = x +2
they are ⊥
Process
If they are ⊥, then, x + 2 = - 1/x
x(x + 2) = -1
x² + 2x = -1
x² + 2x + 1 = 0
(x + 1)² = 0
x + 1 = 0
x = -1
Answer:
14x + 7 = 30
Step-by-step explanation:
Given
7y + 6 = 36 and y = 2x + 1
substitute y = 2x + 1 into 7y + 6 = 36 , that is
7(2x + 1) + 6 = 36 ( subtract 6 from both sides )
7(2x + 1) = 30 ← distribute parenthesis on left side by 7
14x + 7 = 30
Answer:
11
Step-by-step explanation:
Let the number be x.
Then by the question,
2x+4 = 3x-7
x=11