q+2/5 = 2q-11/7
multiply each term by 35
35q + 14 = 70q - 55
-35q = -69
q = 69/35
Q+2/5=2q-11/7
•7/7. •7/7
7q+14/35=10q-55/35
•35. •35
7q+14=10q-55
-7q. -7q
14=3q-55
+55. +55
69=3q
/3. /3 23=q
To solve the equation q + 2/5 = 2q - 11/7, we need to find the value of q that makes both sides of the equation equal. To do this, we can follow a few steps:
Step 1: Simplify the equation by getting rid of the fractions. To do this, we can multiply both sides of the equation by the least common denominator (LCD) of 5 and 7, which is 35.
35(q + 2/5) = 35(2q - 11/7)
35q + 2(35/5) = 35(2q) - 11(35/7)
35q + 14 = 70q - 55
Step 2: Combine like terms on both sides of the equation.
35q - 70q = -55 - 14
-35q = -69
Step 3: Divide both sides of the equation by -35 to solve for q.
-35q/-35 = -69/-35
q = 69/35
So, the solution to the equation q + 2/5 = 2q - 11/7 is q = 69/35.