Solving systems of equations by substitution 2x - 3y = 19
x - 2y = 11

Step-by-step explanation:

We are asked to solve the system of equations by substitution. We must isolate a variable and plug it into the other equation.

We are given these 2 equations;

1. Isolate a Variable

We can easily isolate x in the 2nd equation. 2y is being subtracted from x. The inverse operation of subtraction is addition. Add 2y to both sides of the equation.

2. Substitute and Solve for y

x is equal to 11 + 2y, so we can substitute this expression in for x in the 1st equation.

Now we can solve for y by isolating the variable First, distribute the 2. Multiply each term in parentheses by 2.

Combine the like terms.

22 is being added to y. The inverse operation of addition is subtraction. Subtract 22 from both sides of the equation.

3. Solve for x

We know that y is equal to -3, so we can plug it back into either original equation and solve for x. Let's use the 2nd equation.

Multiply -2 and -3.

6 is being added to x. The inverse operation of addition is subtraction. Subtract 6 from both sides of the equation.

We found that y=-3 and x=5. Coordinate points are written as (x,y), so the solution for this system of equations is (5, -3).

1/3 + 1/3 ≠ 2/6 because 1/3 alone = 2/6  

step by step explanation:

1/3 + 1/3 = 2/3       2/3=4/6