Answer:
(-1,-5)
Step-by-step explanation:
So we have the system:
y=3x-2
x-y=4.
We are asked to use substitution. Luckily, it is already setup for this because one of the equations has one of the variables solved for, namely the y=3x-2 equation. We are going to insert y=3x-2 into x-y=4 and solve for x.
x-y=4 (with y=(3x-2) ):
x-(3x-2)=4
Distribute:
x-3x+2=4
Combine like terms:
-2x+2=4
Subtract 2 on both sides:
-2x =2
Divide both sides by -2:
x =-1
Now if y=3x-2 and x=-1, then y=3(-1)-2=-3-2=-5.
So the solution is (-1,-5).
Answer:
a < -4
Step-by-step explanation:
Step 1: Write out inequality
-2a - 5 > 3
Step 2: Add 5 to both sides
-2a > 8
Step 3: Divide both sides by -2
a < -4
Here, we can see that any value of <em>a </em>less than -4 works. So <em>a</em> could be -124 or -5, or even -1271293587923857 and it would work.
Side side side
**************************************************************
Answer:
Length is 7, Permimeter is 28
Step-by-step explanation:
Perimeter=4×side
(8x-28)=4×x [let length be x]
8x-28=4x
8x-4x=28
4x=28
x=28÷4
x=7
Length = x = 7
Perimeter=(8x-28)
=(7×8)-28
=56-28
=28
Answer:
Commutative
Step-by-step explanation:
There are four basic property of operations to solve an algebraic expressions. They are associative, commutative, distributive and identity.
The expression given is :
So the given algebraic expression is a commutative property of operations. The commutative property states that when any two numbers are added in an expression the sum of the numbers are the same regardless of the order of the numbers that are added.
Thus the sum of the above expression will be same in which ever order the numbers are added.