Answer:
x=3 LA=12
Step-by-step explanation:
PL plus PA is equivalent to LA. So, (x+4)+(2x-1)=5x-3, which can be rewritten as 3x+3=5x-3. Now we can add 3 to both sides to get 3x+6=5x and subtract 3x from both sides to get 6=2x. Now we divide by 2 on both sides to get x, which is 3, and we can plug that into the equation for LA. So we get 5(3)-2=LA. LA equals 12.
Steps to solve (x+4)+(2x-1)=5x-3:
1: (x+4)+(2x-1)=5x-3
2: 3x+3=5x-3 Rewrite equation
3: 3x+6=5x Add 3 to both sides
4: 6=2x Subtract 3x from both sides
5: 3=x Divide by 2 on both sides
The value of x is 3 and the value of LA is 12.
PL = x + 4,
PA = 2x − 1,
LA = 5x − 3.
Since P is between L and A, then the equation to get x will be:
PL + PA = LA
(x + 4) + (2x - 1) = (5x - 3)
Open the bracket
x + 4 + 2x - 1 = 5x - 3
Collect like terms
3x + 3 = 5x - 3
5x - 3x = 3 + 3
2x = 6
x = 6/2
x = 3
LA = 5x - 3
LA = 5(3) - 3
LA = 15 - 3.
LA = 12
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