To solve the equation 2/5x + 4 = 10, we need to isolate the variable x on one side of the equation.
Step 1: Subtract 4 from both sides of the equation
2/5x + 4 - 4 = 10 - 4
2/5x = 6
Step 2: To isolate x, divide both sides of the equation by 2/5 (or multiply by the reciprocal, 5/2)
(2/5x)(5/2) = (6)(5/2)
x = 15
Therefore, the solution to the equation 2/5x + 4 = 10 is x = 15.
Solve the following two-step linear equation
2/5x+4=10
9 answers
Solve the following two-step linear equation
m/5-2=6
m/5-2=6
To solve the equation m/5 - 2 = 6, we need to isolate the variable m on one side of the equation.
Step 1: Add 2 to both sides of the equation
m/5 - 2 + 2 = 6 + 2
m/5 = 8
Step 2: To isolate m, multiply both sides of the equation by 5
(m/5)(5) = 8(5)
m = 40
Therefore, the solution to the equation m/5 - 2 = 6 is m = 40.
Step 1: Add 2 to both sides of the equation
m/5 - 2 + 2 = 6 + 2
m/5 = 8
Step 2: To isolate m, multiply both sides of the equation by 5
(m/5)(5) = 8(5)
m = 40
Therefore, the solution to the equation m/5 - 2 = 6 is m = 40.
Solve the following two-step linear equation
-x+3=15
-x+3=15
To solve the equation -x + 3 = 15, we need to isolate the variable x on one side of the equation.
Step 1: Subtract 3 from both sides of the equation
-x + 3 - 3 = 15 - 3
-x = 12
Step 2: To isolate x, multiply both sides of the equation by -1 (or divide by -1)
(-x)(-1) = 12(-1)
x = -12
Therefore, the solution to the equation -x + 3 = 15 is x = -12.
Step 1: Subtract 3 from both sides of the equation
-x + 3 - 3 = 15 - 3
-x = 12
Step 2: To isolate x, multiply both sides of the equation by -1 (or divide by -1)
(-x)(-1) = 12(-1)
x = -12
Therefore, the solution to the equation -x + 3 = 15 is x = -12.
Solve the following two-step linear equation
5^-3=1/5^?
5^-3=1/5^?
To solve the equation 5^-3 = 1/5^?, we can rewrite 5^-3 as 1/5^3.
So, we have 1/5^3 = 1/5^?
To find the value of ?, we need to make the bases of both fractions the same. Since 5^3 = 5 × 5 × 5 = 125, we can rewrite 1/5^3 as 1/125.
Now, we have 1/125 = 1/5^?
To make the fractions equal, we need to have the same numerator. Therefore, the exponent ? has to be 3.
So, the solution to the equation 5^-3 = 1/5^? is ? = 3.
So, we have 1/5^3 = 1/5^?
To find the value of ?, we need to make the bases of both fractions the same. Since 5^3 = 5 × 5 × 5 = 125, we can rewrite 1/5^3 as 1/125.
Now, we have 1/125 = 1/5^?
To make the fractions equal, we need to have the same numerator. Therefore, the exponent ? has to be 3.
So, the solution to the equation 5^-3 = 1/5^? is ? = 3.
Solve the following two-step linear equation
(x^4)(x^6)/x^3
(x^4)(x^6)/x^3
To solve the equation (x^4)(x^6)/x^3, we can simplify the expression by using the laws of exponents.
First, we can combine the powers of x by adding them:
(x^4)(x^6) = x^(4 + 6) = x^10
Next, we can divide x^10 by x^3 by subtracting the exponents:
x^10 / x^3 = x^(10 - 3) = x^7
Therefore, the solution to the equation (x^4)(x^6)/x^3 is x^7.
First, we can combine the powers of x by adding them:
(x^4)(x^6) = x^(4 + 6) = x^10
Next, we can divide x^10 by x^3 by subtracting the exponents:
x^10 / x^3 = x^(10 - 3) = x^7
Therefore, the solution to the equation (x^4)(x^6)/x^3 is x^7.