To solve the first equation, we need to distribute the 0.2 to both terms inside the parentheses on the left side:
0.2(9) + 0.2(2+x) = 2.41.8 + 0.2(2+x) = 2.4
Now distribute the 0.2 again:1.8 + 0.4 + 0.2x = 2.4
Combine like terms:2.2 + 0.2x = 2.4
Subtract 2.2 from both sides:0.2x = 0.2
Divide by 0.2 to solve for x:x = 1
Now, to solve the second equation:5.1(14-x) = 10.2
Distribute the 5.1:71.4 - 5.1x = 10.2
Subtract 71.4 from both sides:-5.1x = -61.2
Divide by -5.1 to solve for x:x = 12
So the solutions are x = 1 and x = 12.
To solve the first equation, we need to distribute the 0.2 to both terms inside the parentheses on the left side:
0.2(9) + 0.2(2+x) = 2.4
1.8 + 0.2(2+x) = 2.4
Now distribute the 0.2 again:
1.8 + 0.4 + 0.2x = 2.4
Combine like terms:
2.2 + 0.2x = 2.4
Subtract 2.2 from both sides:
0.2x = 0.2
Divide by 0.2 to solve for x:
x = 1
Now, to solve the second equation:
5.1(14-x) = 10.2
Distribute the 5.1:
71.4 - 5.1x = 10.2
Subtract 71.4 from both sides:
-5.1x = -61.2
Divide by -5.1 to solve for x:
x = 12
So the solutions are x = 1 and x = 12.