3 (x + 1) = 5 + x
First you must distribute the 3 to the values inside the parentheses:
3 (x + 1) = 5 + x
(3 * x) + (3 * 1) = 5 + x
3x + 3 = 5 + x
Now you must combine like terms. Like terms are numbers that have matching variables like 3x and x OR are numbers with out variables like 3 and 5.
3x - x = 5 - 3
2x = 2
Next, to completely isolate x, divide 2 to both sides. Since 2 is being multiplied by x, division (the opposite of multiplication) will cancel 2 out (in this case it will make 2 one) from the left side and bring it over to the right side.
2x / 2 = 2 / 2
1x = 1
Check:
3 (1 + 1) = 5 + 1
3 (2) = 5 + 1
6 = 6
^^^This is true, therefore:
x = 1
Hope this helped!
~Just a girl in love with Shawn Mendes
Hey there,
<u>What </u><u>are </u><u>the </u><u>values </u><u>of </u><u>a,</u><u> </u><u>b </u><u>and </u><u>c?</u>
5x² + 2 = 4x
5x² + 2 - 4x = 4x - 4x
5x² - 4x+ 2 = 0
<em>Quadratic </em><em>général </em><em>e</em><em>quation</em><em>:</em>
ax² + bx + c = 0
I hope this helps ✅(◠‿◕)
Answer:
slope of line parallel to given line=slope of given line
=9/2
slope of line perpendicular to given line=‐1/slope of given line
= -2/9
Answer:
d > 0
Step-by-step explanation:
Answer:
5. x = -1 or x = -3
6. b = -2 or b = 6
7. n = 5 or n = 4
Step-by-step explanation:
5. x² + 4x + 3 = 0
Factorize
x² + 3x + x + 3 = 0
x(x + 3) +1(x + 3) = 0
(x + 1)(x + 3) = 0
Set each of the factors equal to zero and solve for x
x + 1 = 0 or x + 3 = 0
x = -1 or x = -3
6. b² - 4b - 14 = -2
Put all terms on one side of the equation leaving zero on one side
b² - 4b - 14 + 2 = 0
b² - 4b - 12 = 0
Factorize
b² - 6b + 2b - 12 = 0
b(b - 6) +2(b - 6) = 0
(b + 2)(b - 6) = 0
Set each of the factors equal to zero and solve for b
b + 2 = 0 or b - 6 = 0
b = -2 or b = 6
7. n² = 9n - 20
Put all terms on one side of the equation leaving zero on one side
n² - 9n + 20 = 0
n² - 5n - 4n + 20 = 0
n(n - 5) -4(n - 5) = 0
(n - 5)(n - 4) = 0
Set each of the factors equal to zero and solve for b
n - 5 = 0 or n - 4 = 0
n = 5 or n = 4
