# Online Algebra Tutoring: Simultaneous Equations (Substitution)

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## Learn Simultaneous Equations from Online Algebra Tutor

In this method, we choose any one equation from the given set of two equations and we solve that equation for**y**, we substitute the value of y into the other equation. After putting the value of

**y**in the other equation, we get equation in only one variable that is

**x**, we can solve this equation and substitute the value of

**x**into any one equation.

**Example:**a) y + x = 8 equation 1 b) y – 2x = 11 equation 2 Step 1: Choose the first equation and solve for y. y = 8 – x Step 2: We plug in this value of y into equation 2. y – 2x = 11 8 – x – 2x = 11 8 – 3x = 11 Step 3: Subtract 8 from both sides. 8 – 8 – 3x = 11 – 8 -3x = 3

**Divide both sides by -3.**

**(-3x / -3) = 3 / -3**

**x = -1**Step 4: Plug in x = -1 back into the first equation. y + x = 8 y – 1 = 8

**Solution: y=9 and x = -1.**

**Checkpoint:**Solve system of linear equations by substitution method: 1.)y = x – 1 , 2x − 3y = −1 2.)x – 9y = –24, x + 7y = 24 3.)x + y = –5, 3x + y = –21 4.)−3x + 3y = 3, −5x + y = 13 5.)−7x + 8y = −5, −2x + 6y = 6

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