A. 3x=30 b. 19y=95c. 21+x=24d. 13-X=7e. 13-x=15f. 21=24-x50 - 2x = 3xh. 14 + y = 22-Y
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It seems like you've provided a list of equations. To solve these equations for their respective variables, I'll go through each one:
a. 3x = 30 To solve for x, divide both sides by 3: 3x / 3 = 30 / 3 x = 10
b. 19y = 95 To solve for y, divide both sides by 19: 19y / 19 = 95 / 19 y = 5
c. 21 + x = 24 To solve for x, subtract 21 from both sides: 21 - 21 + x = 24 - 21 x = 3
d. 13 - x = 7 To solve for x, subtract 7 from both sides: 13 - x - 7 = 7 - 7 6 - x = 0 Now, add x to both sides to isolate x: 6 - x + x = 0 + x 6 = x
e. 13 - x = 15 To solve for x, subtract 15 from both sides: 13 - x - 15 = 15 - 15 -x = -2 Now, multiply both sides by -1 to isolate x: -1 * (-x) = -1 * (-2) x = 2
f. 21 = 24 - x To solve for x, subtract 24 from both sides: 21 - 24 = 24 - 24 - x -3 = -x Now, multiply both sides by -1 to isolate x: -1 * (-3) = -1 * (-x) 3 = x
g. 50 - 2x = 3x To solve for x, first, add 2x to both sides to group x terms on one side: 50 - 2x + 2x = 3x + 2x 50 = 5x Now, divide both sides by 5 to isolate x: 50 / 5 = 5x / 5 10 = x
h. 14 + y = 22 - y To solve for y, add y to both sides to group y terms on one side: 14 + y + y = 22 - y + y 14 + 2y = 22 Now, subtract 14 from both sides to isolate 2y: 14 + 2y - 14 = 22 - 14 2y = 8 Finally, divide both sides by 2 to find y: 2y / 2 = 8 / 2 y = 4
So, the solutions are as follows: a. x = 10 b. y = 5 c. x = 3 d. x = 6 e. x = 2 f. x = 3 g. x = 10 h. y = 4
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