To solve these equations for a, we will isolate the variable a in each equation:
1) 18/a + 23 = 3/5
First, subtract 23 from both sides:
18/a = 3/5 - 2318/a = 3/5 - 23/118/a = 3/5 - 115/518/a = -112/5
Next, multiply both sides by a to get rid of the fraction:
18 = -112a/5
Now multiply both sides by 5 to isolate the varaible a:
90 = -112a
Finally, divide both sides by -112:
a = 90 / -112a = -0.80357 (rounded to 5 decimal places)
2) 4/7 = 8 + 2a/21
First, subtract 8 from both sides and multiply by 21:
4/7 - 8 = 2a(4/7) 21 - 8 21 = 2a12 - 168 = 2a-156 = 2a
Next, divide by 2:
a = -156 / 2a = -78
Therefore, the solution to the system of equations is a = -0.80357 and a = -78.
To solve these equations for a, we will isolate the variable a in each equation:
1) 18/a + 23 = 3/5
First, subtract 23 from both sides:
18/a = 3/5 - 23
18/a = 3/5 - 23/1
18/a = 3/5 - 115/5
18/a = -112/5
Next, multiply both sides by a to get rid of the fraction:
18 = -112a/5
Now multiply both sides by 5 to isolate the varaible a:
90 = -112a
Finally, divide both sides by -112:
a = 90 / -112
a = -0.80357 (rounded to 5 decimal places)
2) 4/7 = 8 + 2a/21
First, subtract 8 from both sides and multiply by 21:
4/7 - 8 = 2a
(4/7) 21 - 8 21 = 2a
12 - 168 = 2a
-156 = 2a
Next, divide by 2:
a = -156 / 2
a = -78
Therefore, the solution to the system of equations is a = -0.80357 and a = -78.