solve -8/15 a = 9/10
Jalen/Carter -- I solved the last problem for you. Now it's your turn.
I'll be glad to check your answer.
1.68 or 1.69
-8/15 a = 9/10
-80 = 135a
-80/135 = a
-0.59 = a
The way you typed it .....
-8/15 a = 9/10
would mean:
(-8/15) a = 9/10 , by the order of operation
-80a = 135
a = -135/80 = - 27/16 = - 1.6875
Ms Sue interpreted it as the way you probably meant it ...
-8/(15a) = 9/10
a = -16/27 = -.59259259.. (the 592 is repeated)
See how important brackets are ??
To solve the equation (-8/15)a = 9/10, we need to isolate the variable "a". Here's how we can do that:
Step 1: Multiply both sides of the equation by the reciprocal of (-8/15), which is (-15/8). This will cancel out the fraction on the left-hand side of the equation.
(-15/8) * (-8/15)a = (-15/8) * (9/10)
Simplifying, we get:
(a) = (-15/8) * (9/10)
Step 2: Multiply the numerators together and the denominators together:
(a) = (-135/80)
Step 3: Simplify the fraction if necessary. In this case, the numerator and denominator share a common factor of 5:
(a) = (-27/16)
Therefore, the solution to the equation (-8/15)a = 9/10 is a = -27/16.