Question 227730: Can someone pls show me how to solve this equation using the addition/elimination process?
1.8x-2y=0.9
0.04x+0.18y=0.15 Answer by drj(1380) (Show Source): You can put this solution on YOUR website! Can someone pls show me how to solve this equation using the addition/elimination process?
1.8x-2y=0.9 Equation A
0.04x+0.18y=0.15 Equation B
Step 1. Multiply by 0.09 to Equation A to both sides of the equation
Equation A1 Equation B
Step 2. Add Equations A1 and B to eliminate the y terms.
Step 3. Divide by 0.202 to both sides of the equation
Step 4. Substitute into Equation A to solve for y.
Step 5. Add 2y-0.9 to both sides of the equation
Step 6. Divide by 2 to both sides of the equation
Step 7. ANSWER: The solution is and
As a check, use the substitution shown below which have the same results.
Solve: We'll use substitution. After moving -2*y to the right, we get: , or . Substitute that
into another equation: and simplify: So, we know that y=0.579207920792079. Since , x=1.14356435643564.
Answer: .
I hope the above steps were helpful.
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And good luck in your studies!
Respectfully,
Dr J
http://www.FreedomUniversity.TV