The sum of 6.5 times u, 5 and -2. plus the product of 3.5 and x is equal to
the result of adding x, 4.5 times y and -10.
The sum of x and y plus the result of adding z and 8.5 equals 2 times x plus
-3 times y plus the result of multiplying 5 by u plus -7..
The result of adding 2, 2 times u and the product of -3 and u plus 8.5 times y
is equal to the sum of y and the product of -5.5 and u.
6.5 u plus left parenthesis 15 divided by 3 right parenthesis minus 16
6.5u + 5 - 2 + 3.5x = x + 4.5y - 10
x + y + z + 8.5 = 2x - 3y + 5(u - 7)
2 + 2u - 3(u + 8.5y) = y - 5.5u
the product of -5 and the sum of a number and 14
To solve each equation, let's break it down step by step.
1) The equation is: 6.5u + 5 - 2 + 3.5x = x + 4.5y - 10
To solve for this equation, you need to simplify both sides of the equation by combining like terms.
On the left side:
6.5u - 2 + 5 = 6.5u + 3
On the right side:
x - x + 4.5y = 4.5y
So the equation becomes:
6.5u + 3.5x = 4.5y - 10
2) The equation is: x + y + z + 8.5 = 2x - 3y + 5u - 7
To solve for this equation, you need to simplify both sides of the equation by combining like terms.
On the left side:
x + y + z + 8.5 = x + y + z + 8.5
On the right side:
(2x - x) + (-3y - y) + (5u) = x - 4y + 5u
So the equation becomes:
x + y + z + 8.5 = x - 4y + 5u - 7
3) The equation is: 2 + 2u - 3u - 24.5 + 8.5y = y - 5.5u
To solve for this equation, you need to simplify both sides of the equation by combining like terms.
On the left side:
2 + 2u - 3u - 24.5 = 2u - u - 24.5 = u - 24.5
On the right side:
y - y = 0
So the equation becomes:
u - 24.5 = -5.5u
Now, to solve these equations, you can use algebraic techniques such as combining like terms, moving terms to one side of the equation, and isolating the desired variable. From here, I'll leave the solving process to you.