Question

(x+26=y) and (y-12=z) if x+y+z=71 solve for x

Answer 1

`\mathsf{x = (31)/(3)}`

Explanation:

`\textsf {Given :}`

`\implies \mathsf {x + 26 = y}`

`\implies \mathsf {y - 12 = z}`

`\implies \mathsf{x + y + z = 71}`

`\textsf {Substitute for y and z in the 3rd equation :}`

`\implies \mathsf {x + x + 26 + y - 12 = 71}`

`\implies \mathsf {2x + 14 + x + 26 = 71}`

`\implies \mathsf {3x + 40 = 71}`

`\implies \mathsf {3x = 31}`

`\implies \mathsf {x = (31)/(3)}`