1) 34.2 - (17.9 - a) = 22 First, simplify the equation by solving the inner parentheses: 34.2 - 17.9 + a = 22 16.3 + a = 22 Next, isolate the variable by subtracting 16.3 from both sides: a = 5.7
2) r + 16.23 - 15.8 = 7.1 Simplify the equation by combining like terms: r + 0.43 = 7.1 Next, isolate the variable by subtracting 0.43 from both sides: r = 6.67
3) 16.5 - (t + 3.4) = 4.9 First, simplify the equation by solving the inner parentheses: 16.5 - t - 3.4 = 4.9 13.1 - t = 4.9 Next, isolate the variable by subtracting 13.1 from both sides: -t = -8.2 Finally, divide by -1 to solve for t: t = 8.2
Therefore, the solutions are: a = 5.7 r = 6.67 t = 8.2
To solve the equations:
1) 34.2 - (17.9 - a) = 22
First, simplify the equation by solving the inner parentheses:
34.2 - 17.9 + a = 22
16.3 + a = 22
Next, isolate the variable by subtracting 16.3 from both sides:
a = 5.7
2) r + 16.23 - 15.8 = 7.1
Simplify the equation by combining like terms:
r + 0.43 = 7.1
Next, isolate the variable by subtracting 0.43 from both sides:
r = 6.67
3) 16.5 - (t + 3.4) = 4.9
First, simplify the equation by solving the inner parentheses:
16.5 - t - 3.4 = 4.9
13.1 - t = 4.9
Next, isolate the variable by subtracting 13.1 from both sides:
-t = -8.2
Finally, divide by -1 to solve for t:
t = 8.2
Therefore, the solutions are:
a = 5.7
r = 6.67
t = 8.2