how do you solve 5x/2-10=x/4-1
and.....
3x/10=9/5
5x/2 -10 = x/4 - 1
Combine terms:
9x/4 = 9
9x = 36
x = 4
3x/10 = 9/5
15 x = 90
x = 6
the answer for 5x/2-10=x/4-1 is -2.875
and also i beleive the answer for numba 2 will be 1.8
To solve the equation 5x/2 - 10 = x/4 - 1, we need to eliminate the fractions and isolate the variable x.
Step 1: Clear the fractions by multiplying every term by the least common denominator (LCD) of the fractions involved. In this case, the LCD is 4.
Multiply all terms by 4:
4 * (5x/2) - 4 * 10 = 4 * (x/4) - 4 * 1
Simplify:
10x - 40 = x - 4
Step 2: Get all x terms on one side of the equation and all constant terms on the other side.
Add x to both sides:
10x - x - 40 = x - x - 4
Simplify:
9x - 40 = -4
Step 3: Isolate the variable x by getting rid of the constant term.
Add 40 to both sides:
9x - 40 + 40 = -4 + 40
Simplify:
9x = 36
Step 4: Solve for x by dividing both sides by the coefficient of x.
Divide by 9:
(9x)/9 = 36/9
Simplify:
x = 4
Therefore, the solution to the equation 5x/2 - 10 = x/4 - 1 is x = 4.
Now let's solve the equation 3x/10 = 9/5.
Step 1: Clear the fraction by multiplying both sides by the reciprocal of the fraction.
Multiply both sides by 10/3:
(10/3) * (3x/10) = (10/3) * (9/5)
Simplify:
x = 6
Therefore, the solution to the equation 3x/10 = 9/5 is x = 6.
Your original answers (-2.875 for the first equation and 1.8 for the second equation) seem to be incorrect.