ACT PREP - Solving for X with 2 Variables

The video tutorial guides viewers through solving a math problem involving two equations. It begins with setting up the problem and isolating the variable Y in two different equations. The tutorial then equates these expressions to solve for X, demonstrating the process of handling fractions and simplifying equations. The final solution is presented, with X equaling 2, and the tutorial concludes with a brief recap.

What is the first step to isolate Y in the equation 2X = 4 - Y?

• Add 2X to both sides

• Subtract 4 from both sides

• Divide both sides by 2

• Multiply both sides by 2

How do you express Y in terms of X from the equation Y = 6 - 3X?

• Y = 3X + 6

• Y = 6 - 3X

• Y = 3X - 6

• Y = 6 + 3X

What is the process to solve for X when you have the equation 6 - 3X/5 = 4 - 2X?

• Multiply both sides by 5

• Add 3X to both sides

• Subtract 4 from both sides

• Divide both sides by 5

What do you do after combining like terms in the equation -10X + 7X = 14?

• Add 10 to both sides

• Divide both sides by 7

• Multiply both sides by -1

• Subtract 6 from both sides

What is the final value of X after solving the equation 7X = 14?

• X = 1

• X = 2

• X = 3

• X = 4