Answer:
x = 6
Step-by-step explanation:
EG = 59
EF = 8x - 14
FG = 4x + 1
to find the value of x
EF + FG = EG (same line)
8x - 14 + 4x + 1 = 59
12x -13 = 59
12x = 59 + 13
12x = 72
x = 72 ÷ 12
x = 6
You can even cross check for correct answer
EF + FG = EG
instead of x place the x's value we got
8x - 14 + 4x + 1 = 59
8 (6) - 14 + 4 (6) + 1 = 59
48 - 14 + 24 + 1 = 59
34 + 25 = 59
59 = 59
CROSS - CHECKED
Answer:
A product of factors is zero if and only if one or more of the factors is zero. That is, if ab = 0, then either a = 0 or b = 0 (or both).
Hence (x+3)(x+12) = 0 only if (x+3) = 0 or (x+12) = 0 or both. (x+3) = 0 when x = 3.(x+12) = 0 when x = 12.
Hence the values of x that make (x+3)(x+12) = 0 are x = 3 and x = 12.
