Question

Find a missing variable given x and y using a calculator.

a) Solve for z in the equation 3x+2y−z=7
b) Find the value of 2a−5=13−3x
c) Determine b in the equation 4x−2y=b if x=3
d) Solve for 5+2c=4x+y

Answer 1

To find a missing variable, identify the unknown and the knowns, then choose an equation, substitute the knowns, and solve for the unknown. Use a calculator for the arithmetic steps after substitution.

Step-by-step explanation:

Finding Missing Variables in Equations

To find missing variables in equations, we need to follow a systematic approach:

• Identify the unknown.
• Identify the knowns.
• Choose an equation, plug in the knowns, and solve for the unknown.

Let's apply this approach to the given problems:

1. (a) To solve for z in the equation 3x + 2y - z = 7, you would rearrange the equation to find z = 3x + 2y - 7 once x and y are known.
2. (b) To find the value of a in 2a - 5 = 13 - 3x, you would solve for a resulting in a = (13 - 3x + 5)/2.
3. (c) Given x = 3, determine b in 4x - 2y = b. The value of b would be b = 4(3) - 2y.
4. (d) Solve for c in 5 + 2c = 4x + y, where c = (4x + y - 5)/2 after substituting the values of x and y.

Remember to use a calculator to perform the arithmetic once you have substituted the values for x and y.