Answer:
The solution to the inequality is:

The number line solution graph is also attached below.
Step-by-step explanation:
Given the inequality

Add 8 to both sides


Divide both sides by 2


Add 3 to both sides


Thus, the solution to the inequality is:

The number line solution graph is also attached below.
Answer:
(- 2, 3 )
Step-by-step explanation:
Given the 2 equations
x + y = 1 → (1)
2y - x = 8 → (2)
Adding the 2 equations term by term will eliminate the x- term
(x - x) + (y + 2y) = (1 + 8), that is
3y = 9 ( divide both sides by 3 )
y = 3
Substitute y = 3 into either of the 2 equations and solve for y
Substituting y = 3 in (1)
x + 3 = 1 ( subtract 3 from both sides )
x = - 2
Solution is (- 2, 3 )
Answer:
Fred is 28 yrs old. Nathalie is 12yrs old
Step-by-step explanation:
Let Nathalie's age be x
Let Fred's age be a
x+a=40 yrs•••••1
4x+a=76yrs•••••2
a=40-x
Substitute a for 40-x in equation (2)
4x+40-x=76
3x=76-40
3x=36
x=12
a=40-12
a=28
Answer:m = (3,1)
b = (0,-1)
Equation:2x + 3
Step-by-step explanation:hope this helps :)
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Line c has a positive slope since it goes from -5 to -3. and kind d’s slope is 2/5 which is also positive so the answer is a)