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put this solution on YOUR website!find the intersection of these two lines...
Equation A
Equation B
Step 1. Let's put the variable terms x and y on the left side and numbers on the right side of equation as given by Step 2.
Step 2. For Equation A, subtract 4y to both sides of the equation and; for equation B add 5x to both sides of the equation.
Equation A-1
Equation B-1
Step 3. Multiply 2 to both sides of Equation B-1 to get
Equation A-1
Equation B-2
Step 4. Add Equations A-1 and B-2 and note the y-terms cancel each other out leaving the x-terms on the left side.
or
Step 5. Substitute this value of x into either Equations A-1 or B-2. Let's choose Equation A-1.
Equation A-1
Multiply by 13 to both sides of equation to get rid of denominator
Add 52y-26 to both sides of equation
Divide 52 to both sides of the equation
Step 6. ANSWER: So x=14/13 and y=4/13 or the intersection point is (14/13,4/13).
We can verify the above result by substituting these values into both equations to see if it leads to a true statement.
Here's another approach to solving the linear system equations by substitution:
