Q:

PLS HELP AND SHOW WORK I WILL GIVE BRAINLIEST + EXTRA POINTS WHOEVER SHOWS WORK......SOLVE FOR THE VARIBLE1. 2+11b = 8b + 152. 7m + 32 = 12 - m3. 16 - 5y = 1 - 4y4. 2x - 8x + 1 = 9 - 10x

Accepted Solution

A:
Answer:1) b =[tex]\frac{13}{3}[/tex]2)m = -2.53)y = 154)x=2Step-by-step explanation:subtract 8b from both sidessubtract 2 from both sidesdivide both sides by 3 Substitute this value into the equation and if both sides are equal then it is the solution.2)Simplifying 7m + 32 = 12 + -1m Reorder the terms: 32 + 7m = 12 + -1m Solving 32 + 7m = 12 + -1m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add 'm' to each side of the equation. 32 + 7m + m = 12 + -1m + m Combine like terms: 7m + m = 8m 32 + 8m = 12 + -1m + m Combine like terms: -1m + m = 0 32 + 8m = 12 + 0 32 + 8m = 12 Add '-32' to each side of the equation. 32 + -32 + 8m = 12 + -32 Combine like terms: 32 + -32 = 0 0 + 8m = 12 + -32 8m = 12 + -32 Combine like terms: 12 + -32 = -20 8m = -20 Divide each side by '8'. m = -2.5 Simplifying m = -2.53)Simplifying 16 + -5y = 1 + -4y Solving 16 + -5y = 1 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. 16 + -5y + 4y = 1 + -4y + 4y Combine like terms: -5y + 4y = -1y 16 + -1y = 1 + -4y + 4y Combine like terms: -4y + 4y = 0 16 + -1y = 1 + 0 16 + -1y = 1 Add '-16' to each side of the equation. 16 + -16 + -1y = 1 + -16 Combine like terms: 16 + -16 = 0 0 + -1y = 1 + -16 -1y = 1 + -16 Combine like terms: 1 + -16 = -15 -1y = -15 Divide each side by '-1'. y = 15 Simplifying y = 154)Simplifying 2x + -8x + 1 = 9 + -10x Reorder the terms: 1 + 2x + -8x = 9 + -10x Combine like terms: 2x + -8x = -6x 1 + -6x = 9 + -10x Solving 1 + -6x = 9 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 1 + -6x + 10x = 9 + -10x + 10x Combine like terms: -6x + 10x = 4x 1 + 4x = 9 + -10x + 10x Combine like terms: -10x + 10x = 0 1 + 4x = 9 + 0 1 + 4x = 9 Add '-1' to each side of the equation. 1 + -1 + 4x = 9 + -1 Combine like terms: 1 + -1 = 0 0 + 4x = 9 + -1 4x = 9 + -1 Combine like terms: 9 + -1 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2