Answer:
x = -7.33 OR x = 
y = 13
Step-by-step explanation:
<u>→You can use the substitution method. First, make y by itself in (-2 + 2y = 24):</u>
-2 + 2y = 24
2y = 26
y = 13
<u>→Then, plug in 13 for y into the other equation:</u>
3x + 2y = 4
3x + 2(13) = 4
3x + 26 = 4
3x = -22
x = -7.33 OR x = 
Answer:
x = x = 9 ±
or x ≈ 12.61 or x ≈ 5.39
Step-by-step explanation:
x² - 18x + 68 Solve by completing the square.
x² - 18x = - 68
Now complete the square and add that number to both sides of the equation.
1/2 (of the coefficient of the x term)² = (1/2 · -18)² = 81 .
x² - 18x + 81 = -68 + 81
(x - 9) (x - 9) = 13 Now find the square root of both sides
=
Solve
x - 9 = ±
Solve for x
x = 9 ±
x = 9 +
or x = 9 -
x ≈ 12.61 or x ≈ x 5.39
x + 4(x + 1) = 29
x + 4x + 4 = 29
5x + 4 = 29
5x = 29 - 4
5x = 25
x = 25/5
x = 5
x+1 = 6
<span>Ansver: The two consecutive numbers are 5 and 6.
Check:
x + 4(x+1) = 5 + 4 </span>· 6 = 5+24 = 29 OK!