a-7= a-2
---- ----
10 8
a=????
a-7 is divided by 10 = a-2 divided by 8
write it this way:
(a-7)/10 = (a-2)/8
cross-multiply
10a - 20 = 8a - 56
2a = -36
a = -18
Thanks
To solve the equation (a-7)/10 = (a-2)/8, we need to cross-multiply and then solve for a.
Step 1: Cross-multiply
Multiply the numerator of the first fraction by the denominator of the second fraction, and then multiply the numerator of the second fraction by the denominator of the first fraction. This will give you:
8 * (a - 7) = 10 * (a - 2)
Step 2: Distribute and simplify
Distribute the 8 on the left side and the 10 on the right side of the equation:
8a - 56 = 10a - 20
Step 3: Combine like terms
Move all terms containing 'a' to one side and the constant terms to the other side:
8a - 10a = -20 + 56
-2a = 36
Step 4: Solve for a
Divide both sides by -2 to isolate 'a':
a = 36 / -2
a = -18
Therefore, the value of a that satisfies the equation is a = -18.