Please help me solve these two problems and check my answer :)
1. 3x-5+x+2
My answer- X= 17/3
2. 5/6x+1/4= -9/4
my answer- X= -2
It would help if you proofread your questions before you posted them.
1. Where is the = sign?
2. Change to common denominator.
20/24x + 6/24 = -54/24
20/24x = -60/24
Would that give you -2?
#1 I cannot see any way that equation will work with your answer. For if you are correct, 3x=17, and everything except the remaining x is an integer. No way to combine them in to 17/3.
Sure! Let's solve these problems step by step and check your answers.
1. 3x - 5 + x + 2
To solve this equation, we need to simplify it first by combining like terms:
3x + x - 5 + 2
Combining the x terms, we get:
4x - 3
So the equation simplifies to:
4x - 3 = 0
To solve for x, we need to isolate the variable. In this case, we can do that by adding 3 to both sides:
4x - 3 + 3 = 0 + 3
4x = 3
To get x by itself, we divide both sides by 4:
4x/4 = 3/4
x = 3/4
According to your answer, x = 17/3, but based on the equation 4x - 3 = 0, the correct answer is x = 3/4.
2. (5/6)x + 1/4 = -9/4
To solve this equation, let's eliminate the fractions by multiplying all terms by the least common denominator (LCD), which is 12:
12 * [(5/6)x + 1/4] = 12 * (-9/4)
This simplifies to:
10x + 3 = -27
To solve for x, we need to isolate the variable. In this case, we can do that by subtracting 3 from both sides:
10x + 3 - 3 = -27 - 3
10x = -30
To get x by itself, we divide both sides by 10:
10x/10 = -30/10
x = -3
According to your answer, x = -2, but based on the equation (5/6)x + 1/4 = -9/4, the correct answer is x = -3.
I hope this helps! Let me know if you have any further questions.