-4/13y – 7=6
8a – 3+1.2a = 9
5f + 1/8 = -3 (Find the value of f)
p + 3/10 = 4 (Find the value of p)
-4/13y-7=6
-4/13y=6+7
-4/13y=13
-4/13=13y
-4/(13*13)=y
-4/169=y
p+3/10=4
p+3/10=40/10
p=40/10-3/10
p=37/10
p=3.7
you can solve the other two in the same method, hope this helps!
First, you want to get the numbers on one side and the terms containing the unknown on the other.
-4/13y – 7 = 6
-4/13y = 13
To get the y alone on one side, multiply both sides by -13/4.
y = 13(-13/4)
y = -169.4 or -42.25 or -42 1/4
I hope this makes the process clearer.
To solve these equations, we will follow a systematic approach called the 'isolate the variable' method. The goal is to isolate the variable (y, a, f, or p) on one side of the equation and find its value.
Let's solve each equation step by step:
1. -4/13y - 7 = 6:
First, we will add 7 to both sides of the equation to move the constant term:
-4/13y = 6 + 7 = 13
Next, to isolate y, we will multiply both sides of the equation by the reciprocal of -4/13, which is -13/4:
-13/4 * (-4/13y) = -13/4 * 13
y = -13
Therefore, the value of y is -13.
2. 8a - 3 + 1.2a = 9:
First, we will combine like terms on the left-hand side of the equation:
8a + 1.2a - 3 = 9
9.2a - 3 = 9
Next, we will add 3 to both sides of the equation to move the constant term:
9.2a = 9 + 3 = 12
Lastly, we will divide both sides of the equation by 9.2 to isolate a:
(9.2a) / 9.2 = 12 / 9.2
a = 12/9.2
Therefore, the value of a is approximately 1.3043.
3. 5f + (1/8) = -3:
First, we will subtract 1/8 from both sides of the equation to move the constant term:
5f = -3 - 1/8 = -24/8 - 1/8 = -25/8
Next, we will divide both sides of the equation by 5 to isolate f:
(5f)/5 = (-25/8)/5
f = -25/40
Therefore, the value of f is -25/40, which can be simplified as -5/8.
4. p + (3/10) = 4:
First, we will subtract 3/10 from both sides of the equation to move the constant term:
p = 4 - 3/10 = 40/10 - 3/10 = 37/10
Therefore, the value of p is 37/10.