Try this solution, it consists of two parts (MN=8).
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Answer:
Area = L²-5L
Step-by-step explanation:
Area = length * width
Length = L
Width = L - 5
Area = L * (L-5) = L²-5L
Answer:
1.
-3x + 8y = -5
6x + 2y = -8
Set the equations to a common variable.
-3x + 8y = -5 → 8y = 3x - 5 → y = 3/8x - 5/8
6x + 2y = -8 → 2y = -6x - 8 → y = -3x - 4
Set the equations equal to each other.
3/8x - 5/8 = -3x - 4
Combine like terms.
3x + 3/8x = -4 + 5/8
3.375x = -3.375
Divide by 3.375
x = -1
Plug x back in to find y.
-3x + 8y = -5
-3(-1) + 8y = -5
3 + 8y = -5
8y = -8
y = -1
answer: (-1, -1)
2.
3x + 2y = -16
-3x - 8y = 46
Set the equations to a common variable.
3x + 2y = -16 → 2y = -3x - 16 → y = -3/2x - 8
-3x - 8y = 46 → -8y = 3x + 46 → y = -3/8x - 23/4
Set the equations equal to each other.
-3/2x - 8 = -3/8x - 23/4
Combine like terms.
-9/8x = 9/4
or
-1.125x = 2.25
Divide by -1.125
x = -2
Plug x back in to find y.
3(-2) + 2y = -16
-6 + 2y = -16
2y = -10
y = -5
answer: (-2, -5)
Answer:
Step-by-step explanation:
In the given equation, the "like terms" are the constants 5/8 and 44.
It simplifies the math if we eliminate the fractions first. Note that 0.75 = 6/8, so now we have:
8(6/8)s - 8(5/8) = 44).
Multiplying all three terms by 8 (above) yields
8(6s) - 8(5) = 8(44), or
48s = 8(44 + 5), or 48s = 8(49)
Dividing both sides by 48 yields s: s = 8(49/48)
Review "like terms:" These are terms that have at least one characteristic in common. 5/8 and 44 are like terms because they are only constants (no variables are present). We must add 5/8 and 44. 0.75s does not have a "like term" in the given equation.
