1022 - (34x - 5895) = 1 First, simplify the equation by distributing the negative sign within the parentheses 1022 + 5895 - 34x = 1 6917 - 34x = 1 Now, isolate the variable x by subtracting 6917 from both sides -34x = 15 - 691 -34x = -690 x = -6902 / -3 x = 203
(X + 296) • 84 = 9758 + 1611 First, distribute the 84 on the left side of the equation 84x + 84(296) = 9758 + 1611 84x + 24864 = 2587 Now, isolate the variable x by subtracting 24864 from both sides 84x = 25872 - 2486 84x = 100 x = 1008 / 8 x = 12
1971:x - 439 = (234 • 109) / 11 First, simplify the right side of the equation (234 • 109) / 117 = 21846 / 117 = 18 Now, substitute this value back into the equation 1971/x - 439 = 18 1971/x = 62 Cross multiply to solve for x 1971 = 626 x = 1971 / 62 x = 3
To solve the equations:
1022 - (34x - 5895) = 1
First, simplify the equation by distributing the negative sign within the parentheses
1022 + 5895 - 34x = 1
6917 - 34x = 1
Now, isolate the variable x by subtracting 6917 from both sides
-34x = 15 - 691
-34x = -690
x = -6902 / -3
x = 203
(X + 296) • 84 = 9758 + 1611
First, distribute the 84 on the left side of the equation
84x + 84(296) = 9758 + 1611
84x + 24864 = 2587
Now, isolate the variable x by subtracting 24864 from both sides
84x = 25872 - 2486
84x = 100
x = 1008 / 8
x = 12
1971:x - 439 = (234 • 109) / 11
First, simplify the right side of the equation
(234 • 109) / 117 = 21846 / 117 = 18
Now, substitute this value back into the equation
1971/x - 439 = 18
1971/x = 62
Cross multiply to solve for x
1971 = 626
x = 1971 / 62
x = 3
Therefore, the solutions to the equations are:
x = 203x = 12x = 3