Answer:
x = 1.875
Step-by-step explanation:
<u>Step 1: Distribute</u>
1/2x + 3/2(x + 1) - 1/4 = 5
1/2x + 3/2x + 3/2 - 1/4 = 5
<u>Step 2: Combine like terms</u>
4/2x + 6/4 - 1/4 = 5
2x + 5/4 = 5
<u>Step 3: Subtract 5/4 from both sides</u>
2x + 5/4 - 5/4 = 5 - 5/4
2x = 3.75
<u>Step 4: Divide both sides by 2</u>
2x / 2 = 3.75 / 2
x = 1.875
Answer: x = 1.875
Answer:
Step-by-step explanation:
We do FOIL to solve this
Solve for a.
y=2x/a+2b
Multiply both sides by a.
ay=2ab+2x
Add -2ab to both sides.
ay+−2ab=2ab+2x+−2ab
−2ab+ay=2x
Factor out variable a.
a(−2b+y)=2x
Divide both sides by -2b+y.
a(−2b+y) / −2b+y = 2x / −2b+y
a = 2x / −2b+y
Set the equations equal to each other since the x will be the same. Get like terms on the same side and solve.
2x-5=-2/3x+3
2x-5+5=-2/3x+3+5
2x=-2/3x+8
2x+2/3x=-2/3x+2/3x+8
2 2/3x=8
8/3x=8
(3/8)8/3x=8(3/8)
x=3
x=3
