Answer:
The value that will create an equation with no solutions is 5x.
Step-by-step explanation:
No solution would mean that there is no answer to the equation. It is impossible for the equation to be true no matter what value we assign to the variable.
To create a no solution equation, we can need to create a mathematical statement that is always false. To do this, we need the variables on both sides of the equation to cancel each other out and have the remaining values to not be equal.
Use distributive property on the left side first.
![3(x - 4) = [blank] - 2x +7\\\\3x-12=5x - 2x +7\\\\3x-12=3x+7\\\\3x-12+12=3x+7+12\\\\3x=3x+19\\\\3x-3x=3x+19-3x\\\\0=19](https://tex.z-dn.net/?f=3%28x%20-%204%29%20%3D%20%5Bblank%5D%20-%202x%20%2B7%5C%5C%5C%5C3x-12%3D5x%20-%202x%20%2B7%5C%5C%5C%5C3x-12%3D3x%2B7%5C%5C%5C%5C3x-12%2B12%3D3x%2B7%2B12%5C%5C%5C%5C3x%3D3x%2B19%5C%5C%5C%5C3x-3x%3D3x%2B19-3x%5C%5C%5C%5C0%3D19)
Notice that we combined like terms first and then eliminated the variable from one side. When that happened, the variable on the other side was eliminated as well, giving us a false result.
Since zero does not equal nineteen, we know we have an equation with no solution.
2.5x + 4x = 39
6.5x = 39
x = 39 / 6.5
x = 6
Answer:
128 men
Step-by-step explanation:
90 × 28 × 8 = M × 18 × 15/2
M = 128
Answer:
(9x²)²
Step-by-step explanation:
Given the expression 81x⁴, to write the expression as a square of a monomial, first we will assign a variable to the expression.
y = 81x⁴
Then we take the square root of both sides of the expression
√y = √81x⁴
y^½ = √81 × √x⁴
y^½ = 9x²
Squaring both sides of the resulting equation to get y back
(y^½)² = (9x²)²
y = (9x²)²
The expression as a square of a monomial is (9x²)²